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Finding the Fourth Proportional to 70.60, 105.38 and 52.48

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Solution

The fourth proportional to 70.60, 105.38 and 52.48 is: 78.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.60 : 105.38 = 52.48 : x
  2. Step 2: Convert to fraction form
    70.60/105.38 = 52.48/x
  3. Step 3: Cross multiply
    70.60x = 105.38 × 52.48
  4. Step 4: Simplify right side
    70.60x = 5,530.34
  5. Step 5: Solve for x
    x = 5,530.34/70.60
  6. Step 6: Final answer
    x = 78.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.