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Finding the Fourth Proportional to 70.95, 107.01 and 70.11

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Solution

The fourth proportional to 70.95, 107.01 and 70.11 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.95 : 107.01 = 70.11 : x
  2. Step 2: Convert to fraction form
    70.95/107.01 = 70.11/x
  3. Step 3: Cross multiply
    70.95x = 107.01 × 70.11
  4. Step 4: Simplify right side
    70.95x = 7,502.47
  5. Step 5: Solve for x
    x = 7,502.47/70.95
  6. Step 6: Final answer
    x = 105.74

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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.