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Finding the Fourth Proportional to 107.10, 160.96 and 89.88

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Solution

The fourth proportional to 107.10, 160.96 and 89.88 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.10 : 160.96 = 89.88 : x
  2. Step 2: Convert to fraction form
    107.10/160.96 = 89.88/x
  3. Step 3: Cross multiply
    107.10x = 160.96 × 89.88
  4. Step 4: Simplify right side
    107.10x = 14,467.08
  5. Step 5: Solve for x
    x = 14,467.08/107.10
  6. Step 6: Final answer
    x = 135.08

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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.