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Finding the Fourth Proportional to 118.16, 177.08 and 72.40

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Solution

The fourth proportional to 118.16, 177.08 and 72.40 is: 108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 177.08 = 72.40 : x
  2. Step 2: Convert to fraction form
    118.16/177.08 = 72.40/x
  3. Step 3: Cross multiply
    118.16x = 177.08 × 72.40
  4. Step 4: Simplify right side
    118.16x = 12,820.59
  5. Step 5: Solve for x
    x = 12,820.59/118.16
  6. Step 6: Final answer
    x = 108.50

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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.