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Finding the Fourth Proportional to 106.53, 158.73 and 102.60

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Solution

The fourth proportional to 106.53, 158.73 and 102.60 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.53 : 158.73 = 102.60 : x
  2. Step 2: Convert to fraction form
    106.53/158.73 = 102.60/x
  3. Step 3: Cross multiply
    106.53x = 158.73 × 102.60
  4. Step 4: Simplify right side
    106.53x = 16,285.70
  5. Step 5: Solve for x
    x = 16,285.70/106.53
  6. Step 6: Final answer
    x = 152.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.