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Finding the Fourth Proportional to 112.47, 155.23 and 65.84

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Solution

The fourth proportional to 112.47, 155.23 and 65.84 is: 90.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.47 : 155.23 = 65.84 : x
  2. Step 2: Convert to fraction form
    112.47/155.23 = 65.84/x
  3. Step 3: Cross multiply
    112.47x = 155.23 × 65.84
  4. Step 4: Simplify right side
    112.47x = 10,220.34
  5. Step 5: Solve for x
    x = 10,220.34/112.47
  6. Step 6: Final answer
    x = 90.87

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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.