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Finding the Fourth Proportional to 70.57, 97.38 and 41.46

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Solution

The fourth proportional to 70.57, 97.38 and 41.46 is: 57.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.57 : 97.38 = 41.46 : x
  2. Step 2: Convert to fraction form
    70.57/97.38 = 41.46/x
  3. Step 3: Cross multiply
    70.57x = 97.38 × 41.46
  4. Step 4: Simplify right side
    70.57x = 4,036.89
  5. Step 5: Solve for x
    x = 4,036.89/70.57
  6. Step 6: Final answer
    x = 57.20

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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.