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Finding the Fourth Proportional to 71.70, 106.88 and 63.60

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Solution

The fourth proportional to 71.70, 106.88 and 63.60 is: 94.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 106.88 = 63.60 : x
  2. Step 2: Convert to fraction form
    71.70/106.88 = 63.60/x
  3. Step 3: Cross multiply
    71.70x = 106.88 × 63.60
  4. Step 4: Simplify right side
    71.70x = 6,797.25
  5. Step 5: Solve for x
    x = 6,797.25/71.70
  6. Step 6: Final answer
    x = 94.80

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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.