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Finding the Fourth Proportional to 117.87, 177.63 and 117.87

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Solution

The fourth proportional to 117.87, 177.63 and 117.87 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.87 : 177.63 = 117.87 : x
  2. Step 2: Convert to fraction form
    117.87/177.63 = 117.87/x
  3. Step 3: Cross multiply
    117.87x = 177.63 × 117.87
  4. Step 4: Simplify right side
    117.87x = 20,937.25
  5. Step 5: Solve for x
    x = 20,937.25/117.87
  6. Step 6: Final answer
    x = 177.63

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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.