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Finding the Fourth Proportional to 113.07, 156.18 and 85.11

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Solution

The fourth proportional to 113.07, 156.18 and 85.11 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 156.18 = 85.11 : x
  2. Step 2: Convert to fraction form
    113.07/156.18 = 85.11/x
  3. Step 3: Cross multiply
    113.07x = 156.18 × 85.11
  4. Step 4: Simplify right side
    113.07x = 13,292.48
  5. Step 5: Solve for x
    x = 13,292.48/113.07
  6. Step 6: Final answer
    x = 117.56

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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.