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Finding the Fourth Proportional to 70.54, 97.45 and 56.71

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Solution

The fourth proportional to 70.54, 97.45 and 56.71 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 97.45 = 56.71 : x
  2. Step 2: Convert to fraction form
    70.54/97.45 = 56.71/x
  3. Step 3: Cross multiply
    70.54x = 97.45 × 56.71
  4. Step 4: Simplify right side
    70.54x = 5,526.39
  5. Step 5: Solve for x
    x = 5,526.39/70.54
  6. Step 6: Final answer
    x = 78.34

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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.