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Finding the Fourth Proportional to 99.04, 149.16 and 75.16

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Solution

The fourth proportional to 99.04, 149.16 and 75.16 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.04 : 149.16 = 75.16 : x
  2. Step 2: Convert to fraction form
    99.04/149.16 = 75.16/x
  3. Step 3: Cross multiply
    99.04x = 149.16 × 75.16
  4. Step 4: Simplify right side
    99.04x = 11,210.87
  5. Step 5: Solve for x
    x = 11,210.87/99.04
  6. Step 6: Final answer
    x = 113.20

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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.