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Finding the Fourth Proportional to 107.55, 159.93 and 104.30

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Solution

The fourth proportional to 107.55, 159.93 and 104.30 is: 155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.55 : 159.93 = 104.30 : x
  2. Step 2: Convert to fraction form
    107.55/159.93 = 104.30/x
  3. Step 3: Cross multiply
    107.55x = 159.93 × 104.30
  4. Step 4: Simplify right side
    107.55x = 16,680.70
  5. Step 5: Solve for x
    x = 16,680.70/107.55
  6. Step 6: Final answer
    x = 155.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.