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Finding the Fourth Proportional to 113.48, 156.57 and 69.79

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Solution

The fourth proportional to 113.48, 156.57 and 69.79 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 156.57 = 69.79 : x
  2. Step 2: Convert to fraction form
    113.48/156.57 = 69.79/x
  3. Step 3: Cross multiply
    113.48x = 156.57 × 69.79
  4. Step 4: Simplify right side
    113.48x = 10,927.02
  5. Step 5: Solve for x
    x = 10,927.02/113.48
  6. Step 6: Final answer
    x = 96.29

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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.