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Finding the Fourth Proportional to 153.70, 230.75 and 88.76

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Solution

The fourth proportional to 153.70, 230.75 and 88.76 is: 133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.70 : 230.75 = 88.76 : x
  2. Step 2: Convert to fraction form
    153.70/230.75 = 88.76/x
  3. Step 3: Cross multiply
    153.70x = 230.75 × 88.76
  4. Step 4: Simplify right side
    153.70x = 20,480.93
  5. Step 5: Solve for x
    x = 20,480.93/153.70
  6. Step 6: Final answer
    x = 133.26

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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.