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Finding the Fourth Proportional to 39.52, 59.14 and 35.08

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Solution

The fourth proportional to 39.52, 59.14 and 35.08 is: 52.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 59.14 = 35.08 : x
  2. Step 2: Convert to fraction form
    39.52/59.14 = 35.08/x
  3. Step 3: Cross multiply
    39.52x = 59.14 × 35.08
  4. Step 4: Simplify right side
    39.52x = 2,074.63
  5. Step 5: Solve for x
    x = 2,074.63/39.52
  6. Step 6: Final answer
    x = 52.50

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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.