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Finding the Fourth Proportional to 77.42, 116.14 and 72.02

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Solution

The fourth proportional to 77.42, 116.14 and 72.02 is: 108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.14 = 72.02 : x
  2. Step 2: Convert to fraction form
    77.42/116.14 = 72.02/x
  3. Step 3: Cross multiply
    77.42x = 116.14 × 72.02
  4. Step 4: Simplify right side
    77.42x = 8,364.40
  5. Step 5: Solve for x
    x = 8,364.40/77.42
  6. Step 6: Final answer
    x = 108.04

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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.