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Finding the Fourth Proportional to 70.41, 97.20 and 56.58

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Solution

The fourth proportional to 70.41, 97.20 and 56.58 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.41 : 97.20 = 56.58 : x
  2. Step 2: Convert to fraction form
    70.41/97.20 = 56.58/x
  3. Step 3: Cross multiply
    70.41x = 97.20 × 56.58
  4. Step 4: Simplify right side
    70.41x = 5,499.58
  5. Step 5: Solve for x
    x = 5,499.58/70.41
  6. Step 6: Final answer
    x = 78.11

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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.