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Finding the Fourth Proportional to 113.79, 156.96 and 95.48

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Solution

The fourth proportional to 113.79, 156.96 and 95.48 is: 131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.79 : 156.96 = 95.48 : x
  2. Step 2: Convert to fraction form
    113.79/156.96 = 95.48/x
  3. Step 3: Cross multiply
    113.79x = 156.96 × 95.48
  4. Step 4: Simplify right side
    113.79x = 14,985.76
  5. Step 5: Solve for x
    x = 14,985.76/113.79
  6. Step 6: Final answer
    x = 131.70

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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.