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Finding the Fourth Proportional to 153.38, 230.32 and 96.74

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Solution

The fourth proportional to 153.38, 230.32 and 96.74 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 230.32 = 96.74 : x
  2. Step 2: Convert to fraction form
    153.38/230.32 = 96.74/x
  3. Step 3: Cross multiply
    153.38x = 230.32 × 96.74
  4. Step 4: Simplify right side
    153.38x = 22,281.16
  5. Step 5: Solve for x
    x = 22,281.16/153.38
  6. Step 6: Final answer
    x = 145.27

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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.