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Finding the Fourth Proportional to 103.34, 154.87 and 42.40

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Solution

The fourth proportional to 103.34, 154.87 and 42.40 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.34 : 154.87 = 42.40 : x
  2. Step 2: Convert to fraction form
    103.34/154.87 = 42.40/x
  3. Step 3: Cross multiply
    103.34x = 154.87 × 42.40
  4. Step 4: Simplify right side
    103.34x = 6,565.61
  5. Step 5: Solve for x
    x = 6,565.61/103.34
  6. Step 6: Final answer
    x = 63.54

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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.