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Finding the Fourth Proportional to 70.54, 106.28 and 70.09

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Solution

The fourth proportional to 70.54, 106.28 and 70.09 is: 105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 106.28 = 70.09 : x
  2. Step 2: Convert to fraction form
    70.54/106.28 = 70.09/x
  3. Step 3: Cross multiply
    70.54x = 106.28 × 70.09
  4. Step 4: Simplify right side
    70.54x = 7,449.17
  5. Step 5: Solve for x
    x = 7,449.17/70.54
  6. Step 6: Final answer
    x = 105.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.