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Finding the Fourth Proportional to 71.04, 106.50 and 38.52

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Solution

The fourth proportional to 71.04, 106.50 and 38.52 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 106.50 = 38.52 : x
  2. Step 2: Convert to fraction form
    71.04/106.50 = 38.52/x
  3. Step 3: Cross multiply
    71.04x = 106.50 × 38.52
  4. Step 4: Simplify right side
    71.04x = 4,102.38
  5. Step 5: Solve for x
    x = 4,102.38/71.04
  6. Step 6: Final answer
    x = 57.75

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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.