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Finding the Fourth Proportional to 108.07, 148.98 and 69.19

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Solution

The fourth proportional to 108.07, 148.98 and 69.19 is: 95.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.07 : 148.98 = 69.19 : x
  2. Step 2: Convert to fraction form
    108.07/148.98 = 69.19/x
  3. Step 3: Cross multiply
    108.07x = 148.98 × 69.19
  4. Step 4: Simplify right side
    108.07x = 10,307.93
  5. Step 5: Solve for x
    x = 10,307.93/108.07
  6. Step 6: Final answer
    x = 95.38

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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.