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Finding the Fourth Proportional to 112.33, 155.01 and 70.89

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Solution

The fourth proportional to 112.33, 155.01 and 70.89 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.33 : 155.01 = 70.89 : x
  2. Step 2: Convert to fraction form
    112.33/155.01 = 70.89/x
  3. Step 3: Cross multiply
    112.33x = 155.01 × 70.89
  4. Step 4: Simplify right side
    112.33x = 10,988.66
  5. Step 5: Solve for x
    x = 10,988.66/112.33
  6. Step 6: Final answer
    x = 97.82

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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.