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Finding the Fourth Proportional to 106.56, 159.91 and 60.93

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Solution

The fourth proportional to 106.56, 159.91 and 60.93 is: 91.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.91 = 60.93 : x
  2. Step 2: Convert to fraction form
    106.56/159.91 = 60.93/x
  3. Step 3: Cross multiply
    106.56x = 159.91 × 60.93
  4. Step 4: Simplify right side
    106.56x = 9,743.16
  5. Step 5: Solve for x
    x = 9,743.16/106.56
  6. Step 6: Final answer
    x = 91.43

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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.