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Finding the Fourth Proportional to 113.59, 170.21 and 52.70

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Solution

The fourth proportional to 113.59, 170.21 and 52.70 is: 78.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 170.21 = 52.70 : x
  2. Step 2: Convert to fraction form
    113.59/170.21 = 52.70/x
  3. Step 3: Cross multiply
    113.59x = 170.21 × 52.70
  4. Step 4: Simplify right side
    113.59x = 8,970.07
  5. Step 5: Solve for x
    x = 8,970.07/113.59
  6. Step 6: Final answer
    x = 78.97

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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.