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Finding the Fourth Proportional to 153.17, 229.77 and 66.43

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Solution

The fourth proportional to 153.17, 229.77 and 66.43 is: 99.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.17 : 229.77 = 66.43 : x
  2. Step 2: Convert to fraction form
    153.17/229.77 = 66.43/x
  3. Step 3: Cross multiply
    153.17x = 229.77 × 66.43
  4. Step 4: Simplify right side
    153.17x = 15,263.62
  5. Step 5: Solve for x
    x = 15,263.62/153.17
  6. Step 6: Final answer
    x = 99.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.