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Finding the Fourth Proportional to 67.59, 100.66 and 64.83

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Solution

The fourth proportional to 67.59, 100.66 and 64.83 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.59 : 100.66 = 64.83 : x
  2. Step 2: Convert to fraction form
    67.59/100.66 = 64.83/x
  3. Step 3: Cross multiply
    67.59x = 100.66 × 64.83
  4. Step 4: Simplify right side
    67.59x = 6,525.63
  5. Step 5: Solve for x
    x = 6,525.63/67.59
  6. Step 6: Final answer
    x = 96.55

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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.