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Finding the Fourth Proportional to 113.77, 157.02 and 69.53

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Solution

The fourth proportional to 113.77, 157.02 and 69.53 is: 95.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.77 : 157.02 = 69.53 : x
  2. Step 2: Convert to fraction form
    113.77/157.02 = 69.53/x
  3. Step 3: Cross multiply
    113.77x = 157.02 × 69.53
  4. Step 4: Simplify right side
    113.77x = 10,917.67
  5. Step 5: Solve for x
    x = 10,917.67/113.77
  6. Step 6: Final answer
    x = 95.97

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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.