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Finding the Fourth Proportional to 67.70, 102.08 and 58.79

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Solution

The fourth proportional to 67.70, 102.08 and 58.79 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 102.08 = 58.79 : x
  2. Step 2: Convert to fraction form
    67.70/102.08 = 58.79/x
  3. Step 3: Cross multiply
    67.70x = 102.08 × 58.79
  4. Step 4: Simplify right side
    67.70x = 6,000.48
  5. Step 5: Solve for x
    x = 6,000.48/67.70
  6. Step 6: Final answer
    x = 88.64

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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.