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Finding the Fourth Proportional to 38.70, 53.40 and 23.16

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Solution

The fourth proportional to 38.70, 53.40 and 23.16 is: 31.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.70 : 53.40 = 23.16 : x
  2. Step 2: Convert to fraction form
    38.70/53.40 = 23.16/x
  3. Step 3: Cross multiply
    38.70x = 53.40 × 23.16
  4. Step 4: Simplify right side
    38.70x = 1,236.74
  5. Step 5: Solve for x
    x = 1,236.74/38.70
  6. Step 6: Final answer
    x = 31.96

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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.