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Finding the Fourth Proportional to 113.75, 157 and 67.13

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Solution

The fourth proportional to 113.75, 157 and 67.13 is: 92.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 157 = 67.13 : x
  2. Step 2: Convert to fraction form
    113.75/157 = 67.13/x
  3. Step 3: Cross multiply
    113.75x = 157 × 67.13
  4. Step 4: Simplify right side
    113.75x = 10,539.41
  5. Step 5: Solve for x
    x = 10,539.41/113.75
  6. Step 6: Final answer
    x = 92.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.