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Finding the Fourth Proportional to 107.01, 160.49 and 72.77

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Solution

The fourth proportional to 107.01, 160.49 and 72.77 is: 109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.01 : 160.49 = 72.77 : x
  2. Step 2: Convert to fraction form
    107.01/160.49 = 72.77/x
  3. Step 3: Cross multiply
    107.01x = 160.49 × 72.77
  4. Step 4: Simplify right side
    107.01x = 11,678.86
  5. Step 5: Solve for x
    x = 11,678.86/107.01
  6. Step 6: Final answer
    x = 109.14

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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.