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Finding the Fourth Proportional to 106.55, 147.03 and 73.88

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Solution

The fourth proportional to 106.55, 147.03 and 73.88 is: 101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.55 : 147.03 = 73.88 : x
  2. Step 2: Convert to fraction form
    106.55/147.03 = 73.88/x
  3. Step 3: Cross multiply
    106.55x = 147.03 × 73.88
  4. Step 4: Simplify right side
    106.55x = 10,861.84
  5. Step 5: Solve for x
    x = 10,861.84/106.55
  6. Step 6: Final answer
    x = 101.95

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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.