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Finding the Fourth Proportional to 67.70, 102.13 and 65.42

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Solution

The fourth proportional to 67.70, 102.13 and 65.42 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 102.13 = 65.42 : x
  2. Step 2: Convert to fraction form
    67.70/102.13 = 65.42/x
  3. Step 3: Cross multiply
    67.70x = 102.13 × 65.42
  4. Step 4: Simplify right side
    67.70x = 6,681.34
  5. Step 5: Solve for x
    x = 6,681.34/67.70
  6. Step 6: Final answer
    x = 98.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.