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Finding the Fourth Proportional to 94.32, 140.64 and 83.52

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Solution

The fourth proportional to 94.32, 140.64 and 83.52 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.32 : 140.64 = 83.52 : x
  2. Step 2: Convert to fraction form
    94.32/140.64 = 83.52/x
  3. Step 3: Cross multiply
    94.32x = 140.64 × 83.52
  4. Step 4: Simplify right side
    94.32x = 11,746.25
  5. Step 5: Solve for x
    x = 11,746.25/94.32
  6. Step 6: Final answer
    x = 124.54

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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.