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Finding the Fourth Proportional to 39.46, 59.08 and 21.14

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Solution

The fourth proportional to 39.46, 59.08 and 21.14 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.46 : 59.08 = 21.14 : x
  2. Step 2: Convert to fraction form
    39.46/59.08 = 21.14/x
  3. Step 3: Cross multiply
    39.46x = 59.08 × 21.14
  4. Step 4: Simplify right side
    39.46x = 1,248.95
  5. Step 5: Solve for x
    x = 1,248.95/39.46
  6. Step 6: Final answer
    x = 31.65

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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.