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Finding the Fourth Proportional to 100.42, 149.90 and 92.90

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Solution

The fourth proportional to 100.42, 149.90 and 92.90 is: 138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.42 : 149.90 = 92.90 : x
  2. Step 2: Convert to fraction form
    100.42/149.90 = 92.90/x
  3. Step 3: Cross multiply
    100.42x = 149.90 × 92.90
  4. Step 4: Simplify right side
    100.42x = 13,925.97
  5. Step 5: Solve for x
    x = 13,925.97/100.42
  6. Step 6: Final answer
    x = 138.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.