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Finding the Fourth Proportional to 112.93, 168.75 and 99.26

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Solution

The fourth proportional to 112.93, 168.75 and 99.26 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.93 : 168.75 = 99.26 : x
  2. Step 2: Convert to fraction form
    112.93/168.75 = 99.26/x
  3. Step 3: Cross multiply
    112.93x = 168.75 × 99.26
  4. Step 4: Simplify right side
    112.93x = 16,749.91
  5. Step 5: Solve for x
    x = 16,749.91/112.93
  6. Step 6: Final answer
    x = 148.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.