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Finding the Fourth Proportional to 70.33, 97.10 and 48.55

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Solution

The fourth proportional to 70.33, 97.10 and 48.55 is: 67.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.33 : 97.10 = 48.55 : x
  2. Step 2: Convert to fraction form
    70.33/97.10 = 48.55/x
  3. Step 3: Cross multiply
    70.33x = 97.10 × 48.55
  4. Step 4: Simplify right side
    70.33x = 4,714.21
  5. Step 5: Solve for x
    x = 4,714.21/70.33
  6. Step 6: Final answer
    x = 67.03

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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.