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Finding the Fourth Proportional to 70.50, 106.11 and 60.06

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Solution

The fourth proportional to 70.50, 106.11 and 60.06 is: 90.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.50 : 106.11 = 60.06 : x
  2. Step 2: Convert to fraction form
    70.50/106.11 = 60.06/x
  3. Step 3: Cross multiply
    70.50x = 106.11 × 60.06
  4. Step 4: Simplify right side
    70.50x = 6,372.97
  5. Step 5: Solve for x
    x = 6,372.97/70.50
  6. Step 6: Final answer
    x = 90.40

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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.