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Finding the Fourth Proportional to 113.94, 157.20 and 69.66

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Solution

The fourth proportional to 113.94, 157.20 and 69.66 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.94 : 157.20 = 69.66 : x
  2. Step 2: Convert to fraction form
    113.94/157.20 = 69.66/x
  3. Step 3: Cross multiply
    113.94x = 157.20 × 69.66
  4. Step 4: Simplify right side
    113.94x = 10,950.55
  5. Step 5: Solve for x
    x = 10,950.55/113.94
  6. Step 6: Final answer
    x = 96.11

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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.