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Finding the Fourth Proportional to 67.60, 100.76 and 64.90

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Solution

The fourth proportional to 67.60, 100.76 and 64.90 is: 96.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.60 : 100.76 = 64.90 : x
  2. Step 2: Convert to fraction form
    67.60/100.76 = 64.90/x
  3. Step 3: Cross multiply
    67.60x = 100.76 × 64.90
  4. Step 4: Simplify right side
    67.60x = 6,539.32
  5. Step 5: Solve for x
    x = 6,539.32/67.60
  6. Step 6: Final answer
    x = 96.74

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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.