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Finding the Fourth Proportional to 107.03, 160.56 and 89.83

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Solution

The fourth proportional to 107.03, 160.56 and 89.83 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 160.56 = 89.83 : x
  2. Step 2: Convert to fraction form
    107.03/160.56 = 89.83/x
  3. Step 3: Cross multiply
    107.03x = 160.56 × 89.83
  4. Step 4: Simplify right side
    107.03x = 14,423.10
  5. Step 5: Solve for x
    x = 14,423.10/107.03
  6. Step 6: Final answer
    x = 134.76

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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.