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Finding the Fourth Proportional to 58.57, 87.85 and 26.50

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Solution

The fourth proportional to 58.57, 87.85 and 26.50 is: 39.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.57 : 87.85 = 26.50 : x
  2. Step 2: Convert to fraction form
    58.57/87.85 = 26.50/x
  3. Step 3: Cross multiply
    58.57x = 87.85 × 26.50
  4. Step 4: Simplify right side
    58.57x = 2,328.03
  5. Step 5: Solve for x
    x = 2,328.03/58.57
  6. Step 6: Final answer
    x = 39.75

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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.