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Finding the Fourth Proportional to 67.45, 100.57 and 64.48

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Solution

The fourth proportional to 67.45, 100.57 and 64.48 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.45 : 100.57 = 64.48 : x
  2. Step 2: Convert to fraction form
    67.45/100.57 = 64.48/x
  3. Step 3: Cross multiply
    67.45x = 100.57 × 64.48
  4. Step 4: Simplify right side
    67.45x = 6,484.91
  5. Step 5: Solve for x
    x = 6,484.91/67.45
  6. Step 6: Final answer
    x = 96.14

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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.