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Finding the Fourth Proportional to 100.18, 138.25 and 58.14

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Solution

The fourth proportional to 100.18, 138.25 and 58.14 is: 80.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.18 : 138.25 = 58.14 : x
  2. Step 2: Convert to fraction form
    100.18/138.25 = 58.14/x
  3. Step 3: Cross multiply
    100.18x = 138.25 × 58.14
  4. Step 4: Simplify right side
    100.18x = 8,037.93
  5. Step 5: Solve for x
    x = 8,037.93/100.18
  6. Step 6: Final answer
    x = 80.23

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