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Finding the Fourth Proportional to 39.48, 59.14 and 34.10

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Solution

The fourth proportional to 39.48, 59.14 and 34.10 is: 51.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.48 : 59.14 = 34.10 : x
  2. Step 2: Convert to fraction form
    39.48/59.14 = 34.10/x
  3. Step 3: Cross multiply
    39.48x = 59.14 × 34.10
  4. Step 4: Simplify right side
    39.48x = 2,016.67
  5. Step 5: Solve for x
    x = 2,016.67/39.48
  6. Step 6: Final answer
    x = 51.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.