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Finding the Fourth Proportional to 71.47, 106.96 and 62.36

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Solution

The fourth proportional to 71.47, 106.96 and 62.36 is: 93.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.47 : 106.96 = 62.36 : x
  2. Step 2: Convert to fraction form
    71.47/106.96 = 62.36/x
  3. Step 3: Cross multiply
    71.47x = 106.96 × 62.36
  4. Step 4: Simplify right side
    71.47x = 6,670.03
  5. Step 5: Solve for x
    x = 6,670.03/71.47
  6. Step 6: Final answer
    x = 93.33

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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.