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Finding the Fourth Proportional to 70.61, 97.42 and 56.83

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Solution

The fourth proportional to 70.61, 97.42 and 56.83 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.61 : 97.42 = 56.83 : x
  2. Step 2: Convert to fraction form
    70.61/97.42 = 56.83/x
  3. Step 3: Cross multiply
    70.61x = 97.42 × 56.83
  4. Step 4: Simplify right side
    70.61x = 5,536.38
  5. Step 5: Solve for x
    x = 5,536.38/70.61
  6. Step 6: Final answer
    x = 78.41

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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.