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Finding the Fourth Proportional to 107.08, 160.47 and 46.13

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Solution

The fourth proportional to 107.08, 160.47 and 46.13 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.08 : 160.47 = 46.13 : x
  2. Step 2: Convert to fraction form
    107.08/160.47 = 46.13/x
  3. Step 3: Cross multiply
    107.08x = 160.47 × 46.13
  4. Step 4: Simplify right side
    107.08x = 7,401.45
  5. Step 5: Solve for x
    x = 7,401.45/107.08
  6. Step 6: Final answer
    x = 69.12

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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.