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Finding the Fourth Proportional to 153.10, 229.11 and 88.66

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Solution

The fourth proportional to 153.10, 229.11 and 88.66 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 229.11 = 88.66 : x
  2. Step 2: Convert to fraction form
    153.10/229.11 = 88.66/x
  3. Step 3: Cross multiply
    153.10x = 229.11 × 88.66
  4. Step 4: Simplify right side
    153.10x = 20,312.89
  5. Step 5: Solve for x
    x = 20,312.89/153.10
  6. Step 6: Final answer
    x = 132.68

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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.