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Finding the Fourth Proportional to 118.16, 177.56 and 72.64

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Solution

The fourth proportional to 118.16, 177.56 and 72.64 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 177.56 = 72.64 : x
  2. Step 2: Convert to fraction form
    118.16/177.56 = 72.64/x
  3. Step 3: Cross multiply
    118.16x = 177.56 × 72.64
  4. Step 4: Simplify right side
    118.16x = 12,897.96
  5. Step 5: Solve for x
    x = 12,897.96/118.16
  6. Step 6: Final answer
    x = 109.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.