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Finding the Fourth Proportional to 153.48, 229.64 and 91.55

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Solution

The fourth proportional to 153.48, 229.64 and 91.55 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.48 : 229.64 = 91.55 : x
  2. Step 2: Convert to fraction form
    153.48/229.64 = 91.55/x
  3. Step 3: Cross multiply
    153.48x = 229.64 × 91.55
  4. Step 4: Simplify right side
    153.48x = 21,023.08
  5. Step 5: Solve for x
    x = 21,023.08/153.48
  6. Step 6: Final answer
    x = 136.98

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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.