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Finding the Fourth Proportional to 106.78, 159.81 and 66.24

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Solution

The fourth proportional to 106.78, 159.81 and 66.24 is: 99.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 159.81 = 66.24 : x
  2. Step 2: Convert to fraction form
    106.78/159.81 = 66.24/x
  3. Step 3: Cross multiply
    106.78x = 159.81 × 66.24
  4. Step 4: Simplify right side
    106.78x = 10,585.02
  5. Step 5: Solve for x
    x = 10,585.02/106.78
  6. Step 6: Final answer
    x = 99.13

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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.