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Finding the Fourth Proportional to 83.42, 115.12 and 46.58

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Solution

The fourth proportional to 83.42, 115.12 and 46.58 is: 64.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 115.12 = 46.58 : x
  2. Step 2: Convert to fraction form
    83.42/115.12 = 46.58/x
  3. Step 3: Cross multiply
    83.42x = 115.12 × 46.58
  4. Step 4: Simplify right side
    83.42x = 5,362.29
  5. Step 5: Solve for x
    x = 5,362.29/83.42
  6. Step 6: Final answer
    x = 64.28

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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.