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Finding the Fourth Proportional to 70.04, 105.12 and 31.57

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Solution

The fourth proportional to 70.04, 105.12 and 31.57 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.04 : 105.12 = 31.57 : x
  2. Step 2: Convert to fraction form
    70.04/105.12 = 31.57/x
  3. Step 3: Cross multiply
    70.04x = 105.12 × 31.57
  4. Step 4: Simplify right side
    70.04x = 3,318.38
  5. Step 5: Solve for x
    x = 3,318.38/70.04
  6. Step 6: Final answer
    x = 47.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.