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Finding the Fourth Proportional to 113.13, 156.01 and 73.82

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Solution

The fourth proportional to 113.13, 156.01 and 73.82 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.13 : 156.01 = 73.82 : x
  2. Step 2: Convert to fraction form
    113.13/156.01 = 73.82/x
  3. Step 3: Cross multiply
    113.13x = 156.01 × 73.82
  4. Step 4: Simplify right side
    113.13x = 11,516.66
  5. Step 5: Solve for x
    x = 11,516.66/113.13
  6. Step 6: Final answer
    x = 101.80

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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.