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Finding the Fourth Proportional to 117.63, 177.84 and 117.63

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Solution

The fourth proportional to 117.63, 177.84 and 117.63 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 177.84 = 117.63 : x
  2. Step 2: Convert to fraction form
    117.63/177.84 = 117.63/x
  3. Step 3: Cross multiply
    117.63x = 177.84 × 117.63
  4. Step 4: Simplify right side
    117.63x = 20,919.32
  5. Step 5: Solve for x
    x = 20,919.32/117.63
  6. Step 6: Final answer
    x = 177.84

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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.