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Finding the Fourth Proportional to 70.35, 97.04 and 41.23

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Solution

The fourth proportional to 70.35, 97.04 and 41.23 is: 56.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.35 : 97.04 = 41.23 : x
  2. Step 2: Convert to fraction form
    70.35/97.04 = 41.23/x
  3. Step 3: Cross multiply
    70.35x = 97.04 × 41.23
  4. Step 4: Simplify right side
    70.35x = 4,000.96
  5. Step 5: Solve for x
    x = 4,000.96/70.35
  6. Step 6: Final answer
    x = 56.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.