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Finding the Fourth Proportional to 58.27, 87.40 and 17.70

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Solution

The fourth proportional to 58.27, 87.40 and 17.70 is: 26.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.27 : 87.40 = 17.70 : x
  2. Step 2: Convert to fraction form
    58.27/87.40 = 17.70/x
  3. Step 3: Cross multiply
    58.27x = 87.40 × 17.70
  4. Step 4: Simplify right side
    58.27x = 1,546.98
  5. Step 5: Solve for x
    x = 1,546.98/58.27
  6. Step 6: Final answer
    x = 26.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.