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Finding the Fourth Proportional to 58.71, 88.17 and 31.68

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Solution

The fourth proportional to 58.71, 88.17 and 31.68 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.71 : 88.17 = 31.68 : x
  2. Step 2: Convert to fraction form
    58.71/88.17 = 31.68/x
  3. Step 3: Cross multiply
    58.71x = 88.17 × 31.68
  4. Step 4: Simplify right side
    58.71x = 2,793.23
  5. Step 5: Solve for x
    x = 2,793.23/58.71
  6. Step 6: Final answer
    x = 47.58

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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.