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Finding the Fourth Proportional to 71.90, 99.24 and 51.29

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Solution

The fourth proportional to 71.90, 99.24 and 51.29 is: 70.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.90 : 99.24 = 51.29 : x
  2. Step 2: Convert to fraction form
    71.90/99.24 = 51.29/x
  3. Step 3: Cross multiply
    71.90x = 99.24 × 51.29
  4. Step 4: Simplify right side
    71.90x = 5,089.52
  5. Step 5: Solve for x
    x = 5,089.52/71.90
  6. Step 6: Final answer
    x = 70.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.