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Finding the Fourth Proportional to 106.86, 147.46 and 60.23

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Solution

The fourth proportional to 106.86, 147.46 and 60.23 is: 83.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 147.46 = 60.23 : x
  2. Step 2: Convert to fraction form
    106.86/147.46 = 60.23/x
  3. Step 3: Cross multiply
    106.86x = 147.46 × 60.23
  4. Step 4: Simplify right side
    106.86x = 8,881.52
  5. Step 5: Solve for x
    x = 8,881.52/106.86
  6. Step 6: Final answer
    x = 83.11

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Why These Related Problems?

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