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Finding the Fourth Proportional to 100.24, 149.65 and 91.13

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Solution

The fourth proportional to 100.24, 149.65 and 91.13 is: 136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 149.65 = 91.13 : x
  2. Step 2: Convert to fraction form
    100.24/149.65 = 91.13/x
  3. Step 3: Cross multiply
    100.24x = 149.65 × 91.13
  4. Step 4: Simplify right side
    100.24x = 13,636.63
  5. Step 5: Solve for x
    x = 13,636.63/100.24
  6. Step 6: Final answer
    x = 136.04

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