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Finding the Fourth Proportional to 108.68, 150.06 and 88.10

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Solution

The fourth proportional to 108.68, 150.06 and 88.10 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.68 : 150.06 = 88.10 : x
  2. Step 2: Convert to fraction form
    108.68/150.06 = 88.10/x
  3. Step 3: Cross multiply
    108.68x = 150.06 × 88.10
  4. Step 4: Simplify right side
    108.68x = 13,220.29
  5. Step 5: Solve for x
    x = 13,220.29/108.68
  6. Step 6: Final answer
    x = 121.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.