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Finding the Fourth Proportional to 116, 160.12 and 70

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Solution

The fourth proportional to 116, 160.12 and 70 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 160.12 = 70 : x
  2. Step 2: Convert to fraction form
    116/160.12 = 70/x
  3. Step 3: Cross multiply
    116x = 160.12 × 70
  4. Step 4: Simplify right side
    116x = 11,208.40
  5. Step 5: Solve for x
    x = 11,208.40/116
  6. Step 6: Final answer
    x = 96.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.