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Finding the Fourth Proportional to 106.35, 159.53 and 60.78

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Solution

The fourth proportional to 106.35, 159.53 and 60.78 is: 91.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.35 : 159.53 = 60.78 : x
  2. Step 2: Convert to fraction form
    106.35/159.53 = 60.78/x
  3. Step 3: Cross multiply
    106.35x = 159.53 × 60.78
  4. Step 4: Simplify right side
    106.35x = 9,696.53
  5. Step 5: Solve for x
    x = 9,696.53/106.35
  6. Step 6: Final answer
    x = 91.18

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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.