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Finding the Fourth Proportional to 112.13, 167.90 and 66.51

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Solution

The fourth proportional to 112.13, 167.90 and 66.51 is: 99.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 167.90 = 66.51 : x
  2. Step 2: Convert to fraction form
    112.13/167.90 = 66.51/x
  3. Step 3: Cross multiply
    112.13x = 167.90 × 66.51
  4. Step 4: Simplify right side
    112.13x = 11,166.02
  5. Step 5: Solve for x
    x = 11,166.02/112.13
  6. Step 6: Final answer
    x = 99.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.