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Finding the Fourth Proportional to 39.35, 59.02 and 29.77

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Solution

The fourth proportional to 39.35, 59.02 and 29.77 is: 44.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.35 : 59.02 = 29.77 : x
  2. Step 2: Convert to fraction form
    39.35/59.02 = 29.77/x
  3. Step 3: Cross multiply
    39.35x = 59.02 × 29.77
  4. Step 4: Simplify right side
    39.35x = 1,756.76
  5. Step 5: Solve for x
    x = 1,756.76/39.35
  6. Step 6: Final answer
    x = 44.65

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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.