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Finding the Fourth Proportional to 113.57, 170.30 and 58.67

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Solution

The fourth proportional to 113.57, 170.30 and 58.67 is: 87.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.57 : 170.30 = 58.67 : x
  2. Step 2: Convert to fraction form
    113.57/170.30 = 58.67/x
  3. Step 3: Cross multiply
    113.57x = 170.30 × 58.67
  4. Step 4: Simplify right side
    113.57x = 9,991.50
  5. Step 5: Solve for x
    x = 9,991.50/113.57
  6. Step 6: Final answer
    x = 87.98

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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.