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Finding the Fourth Proportional to 105.08, 156.64 and 91.64

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Solution

The fourth proportional to 105.08, 156.64 and 91.64 is: 136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.08 : 156.64 = 91.64 : x
  2. Step 2: Convert to fraction form
    105.08/156.64 = 91.64/x
  3. Step 3: Cross multiply
    105.08x = 156.64 × 91.64
  4. Step 4: Simplify right side
    105.08x = 14,354.49
  5. Step 5: Solve for x
    x = 14,354.49/105.08
  6. Step 6: Final answer
    x = 136.61

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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.