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Finding the Fourth Proportional to 70.48, 97.42 and 56.76

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Solution

The fourth proportional to 70.48, 97.42 and 56.76 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 97.42 = 56.76 : x
  2. Step 2: Convert to fraction form
    70.48/97.42 = 56.76/x
  3. Step 3: Cross multiply
    70.48x = 97.42 × 56.76
  4. Step 4: Simplify right side
    70.48x = 5,529.56
  5. Step 5: Solve for x
    x = 5,529.56/70.48
  6. Step 6: Final answer
    x = 78.46

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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.