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Finding the Fourth Proportional to 104.64, 145.13 and 99.16

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Solution

The fourth proportional to 104.64, 145.13 and 99.16 is: 137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 145.13 = 99.16 : x
  2. Step 2: Convert to fraction form
    104.64/145.13 = 99.16/x
  3. Step 3: Cross multiply
    104.64x = 145.13 × 99.16
  4. Step 4: Simplify right side
    104.64x = 14,391.09
  5. Step 5: Solve for x
    x = 14,391.09/104.64
  6. Step 6: Final answer
    x = 137.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.