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Finding the Fourth Proportional to 70.46, 97.23 and 42.83

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Solution

The fourth proportional to 70.46, 97.23 and 42.83 is: 59.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 97.23 = 42.83 : x
  2. Step 2: Convert to fraction form
    70.46/97.23 = 42.83/x
  3. Step 3: Cross multiply
    70.46x = 97.23 × 42.83
  4. Step 4: Simplify right side
    70.46x = 4,164.40
  5. Step 5: Solve for x
    x = 4,164.40/70.46
  6. Step 6: Final answer
    x = 59.10

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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.