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Finding the Fourth Proportional to 100.19, 150.45 and 95.06

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Solution

The fourth proportional to 100.19, 150.45 and 95.06 is: 142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.19 : 150.45 = 95.06 : x
  2. Step 2: Convert to fraction form
    100.19/150.45 = 95.06/x
  3. Step 3: Cross multiply
    100.19x = 150.45 × 95.06
  4. Step 4: Simplify right side
    100.19x = 14,301.78
  5. Step 5: Solve for x
    x = 14,301.78/100.19
  6. Step 6: Final answer
    x = 142.75

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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.