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Finding the Fourth Proportional to 153.14, 229.78 and 55.66

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Solution

The fourth proportional to 153.14, 229.78 and 55.66 is: 83.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 229.78 = 55.66 : x
  2. Step 2: Convert to fraction form
    153.14/229.78 = 55.66/x
  3. Step 3: Cross multiply
    153.14x = 229.78 × 55.66
  4. Step 4: Simplify right side
    153.14x = 12,788.13
  5. Step 5: Solve for x
    x = 12,788.13/153.14
  6. Step 6: Final answer
    x = 83.51

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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.