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Finding the Fourth Proportional to 70.97, 106.47 and 32.46

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Solution

The fourth proportional to 70.97, 106.47 and 32.46 is: 48.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 106.47 = 32.46 : x
  2. Step 2: Convert to fraction form
    70.97/106.47 = 32.46/x
  3. Step 3: Cross multiply
    70.97x = 106.47 × 32.46
  4. Step 4: Simplify right side
    70.97x = 3,455.62
  5. Step 5: Solve for x
    x = 3,455.62/70.97
  6. Step 6: Final answer
    x = 48.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.