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Finding the Fourth Proportional to 106.52, 146.94 and 99.48

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Solution

The fourth proportional to 106.52, 146.94 and 99.48 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 146.94 = 99.48 : x
  2. Step 2: Convert to fraction form
    106.52/146.94 = 99.48/x
  3. Step 3: Cross multiply
    106.52x = 146.94 × 99.48
  4. Step 4: Simplify right side
    106.52x = 14,616.86
  5. Step 5: Solve for x
    x = 14,616.86/106.52
  6. Step 6: Final answer
    x = 137.22

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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.