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Finding the Fourth Proportional to 106.35, 145.97 and 97.10

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Solution

The fourth proportional to 106.35, 145.97 and 97.10 is: 133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.35 : 145.97 = 97.10 : x
  2. Step 2: Convert to fraction form
    106.35/145.97 = 97.10/x
  3. Step 3: Cross multiply
    106.35x = 145.97 × 97.10
  4. Step 4: Simplify right side
    106.35x = 14,173.38
  5. Step 5: Solve for x
    x = 14,173.38/106.35
  6. Step 6: Final answer
    x = 133.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.