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Finding the Fourth Proportional to 70.14, 96.78 and 42.54

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Solution

The fourth proportional to 70.14, 96.78 and 42.54 is: 58.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.14 : 96.78 = 42.54 : x
  2. Step 2: Convert to fraction form
    70.14/96.78 = 42.54/x
  3. Step 3: Cross multiply
    70.14x = 96.78 × 42.54
  4. Step 4: Simplify right side
    70.14x = 4,117.02
  5. Step 5: Solve for x
    x = 4,117.02/70.14
  6. Step 6: Final answer
    x = 58.70

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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.