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Finding the Fourth Proportional to 70.89, 106.44 and 45.14

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Solution

The fourth proportional to 70.89, 106.44 and 45.14 is: 67.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 106.44 = 45.14 : x
  2. Step 2: Convert to fraction form
    70.89/106.44 = 45.14/x
  3. Step 3: Cross multiply
    70.89x = 106.44 × 45.14
  4. Step 4: Simplify right side
    70.89x = 4,804.17
  5. Step 5: Solve for x
    x = 4,804.17/70.89
  6. Step 6: Final answer
    x = 67.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.