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Finding the Fourth Proportional to 117.23, 177.08 and 117.23

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Solution

The fourth proportional to 117.23, 177.08 and 117.23 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 177.08 = 117.23 : x
  2. Step 2: Convert to fraction form
    117.23/177.08 = 117.23/x
  3. Step 3: Cross multiply
    117.23x = 177.08 × 117.23
  4. Step 4: Simplify right side
    117.23x = 20,757.62
  5. Step 5: Solve for x
    x = 20,757.62/117.23
  6. Step 6: Final answer
    x = 177.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.