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Finding the Fourth Proportional to 110.54, 152.42 and 88.68

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Solution

The fourth proportional to 110.54, 152.42 and 88.68 is: 122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 152.42 = 88.68 : x
  2. Step 2: Convert to fraction form
    110.54/152.42 = 88.68/x
  3. Step 3: Cross multiply
    110.54x = 152.42 × 88.68
  4. Step 4: Simplify right side
    110.54x = 13,516.61
  5. Step 5: Solve for x
    x = 13,516.61/110.54
  6. Step 6: Final answer
    x = 122.28

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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.