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Finding the Fourth Proportional to 66.14, 99.02 and 47.74

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Solution

The fourth proportional to 66.14, 99.02 and 47.74 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 99.02 = 47.74 : x
  2. Step 2: Convert to fraction form
    66.14/99.02 = 47.74/x
  3. Step 3: Cross multiply
    66.14x = 99.02 × 47.74
  4. Step 4: Simplify right side
    66.14x = 4,727.27
  5. Step 5: Solve for x
    x = 4,727.27/66.14
  6. Step 6: Final answer
    x = 71.47

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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.