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Finding the Fourth Proportional to 70.65, 97.50 and 41.52

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Solution

The fourth proportional to 70.65, 97.50 and 41.52 is: 57.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 97.50 = 41.52 : x
  2. Step 2: Convert to fraction form
    70.65/97.50 = 41.52/x
  3. Step 3: Cross multiply
    70.65x = 97.50 × 41.52
  4. Step 4: Simplify right side
    70.65x = 4,048.20
  5. Step 5: Solve for x
    x = 4,048.20/70.65
  6. Step 6: Final answer
    x = 57.30

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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.