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Finding the Fourth Proportional to 70.16, 104.64 and 67.76

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Solution

The fourth proportional to 70.16, 104.64 and 67.76 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.16 : 104.64 = 67.76 : x
  2. Step 2: Convert to fraction form
    70.16/104.64 = 67.76/x
  3. Step 3: Cross multiply
    70.16x = 104.64 × 67.76
  4. Step 4: Simplify right side
    70.16x = 7,090.41
  5. Step 5: Solve for x
    x = 7,090.41/70.16
  6. Step 6: Final answer
    x = 101.06

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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.