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Finding the Fourth Proportional to 100.96, 151.16 and 88.88

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Solution

The fourth proportional to 100.96, 151.16 and 88.88 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 151.16 = 88.88 : x
  2. Step 2: Convert to fraction form
    100.96/151.16 = 88.88/x
  3. Step 3: Cross multiply
    100.96x = 151.16 × 88.88
  4. Step 4: Simplify right side
    100.96x = 13,435.10
  5. Step 5: Solve for x
    x = 13,435.10/100.96
  6. Step 6: Final answer
    x = 133.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.