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Finding the Fourth Proportional to 70.23, 105.40 and 31.76

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Solution

The fourth proportional to 70.23, 105.40 and 31.76 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.23 : 105.40 = 31.76 : x
  2. Step 2: Convert to fraction form
    70.23/105.40 = 31.76/x
  3. Step 3: Cross multiply
    70.23x = 105.40 × 31.76
  4. Step 4: Simplify right side
    70.23x = 3,347.50
  5. Step 5: Solve for x
    x = 3,347.50/70.23
  6. Step 6: Final answer
    x = 47.66

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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.