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Finding the Fourth Proportional to 100.14, 138.18 and 61.32

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Solution

The fourth proportional to 100.14, 138.18 and 61.32 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 138.18 = 61.32 : x
  2. Step 2: Convert to fraction form
    100.14/138.18 = 61.32/x
  3. Step 3: Cross multiply
    100.14x = 138.18 × 61.32
  4. Step 4: Simplify right side
    100.14x = 8,473.20
  5. Step 5: Solve for x
    x = 8,473.20/100.14
  6. Step 6: Final answer
    x = 84.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.