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Finding the Fourth Proportional to 141.61, 212.42 and 38.90

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Solution

The fourth proportional to 141.61, 212.42 and 38.90 is: 58.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.61 : 212.42 = 38.90 : x
  2. Step 2: Convert to fraction form
    141.61/212.42 = 38.90/x
  3. Step 3: Cross multiply
    141.61x = 212.42 × 38.90
  4. Step 4: Simplify right side
    141.61x = 8,263.14
  5. Step 5: Solve for x
    x = 8,263.14/141.61
  6. Step 6: Final answer
    x = 58.35

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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.