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Finding the Fourth Proportional to 159.45, 220.02 and 93.93

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Solution

The fourth proportional to 159.45, 220.02 and 93.93 is: 129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 220.02 = 93.93 : x
  2. Step 2: Convert to fraction form
    159.45/220.02 = 93.93/x
  3. Step 3: Cross multiply
    159.45x = 220.02 × 93.93
  4. Step 4: Simplify right side
    159.45x = 20,666.48
  5. Step 5: Solve for x
    x = 20,666.48/159.45
  6. Step 6: Final answer
    x = 129.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.