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Finding the Fourth Proportional to 108.84, 150.12 and 99.24

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Solution

The fourth proportional to 108.84, 150.12 and 99.24 is: 136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 150.12 = 99.24 : x
  2. Step 2: Convert to fraction form
    108.84/150.12 = 99.24/x
  3. Step 3: Cross multiply
    108.84x = 150.12 × 99.24
  4. Step 4: Simplify right side
    108.84x = 14,897.91
  5. Step 5: Solve for x
    x = 14,897.91/108.84
  6. Step 6: Final answer
    x = 136.88

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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.