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Finding the Fourth Proportional to 106.49, 159.62 and 60.82

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Solution

The fourth proportional to 106.49, 159.62 and 60.82 is: 91.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 159.62 = 60.82 : x
  2. Step 2: Convert to fraction form
    106.49/159.62 = 60.82/x
  3. Step 3: Cross multiply
    106.49x = 159.62 × 60.82
  4. Step 4: Simplify right side
    106.49x = 9,707.39
  5. Step 5: Solve for x
    x = 9,707.39/106.49
  6. Step 6: Final answer
    x = 91.16

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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.