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Finding the Fourth Proportional to 70.76, 105.75 and 70.16

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Solution

The fourth proportional to 70.76, 105.75 and 70.16 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.76 : 105.75 = 70.16 : x
  2. Step 2: Convert to fraction form
    70.76/105.75 = 70.16/x
  3. Step 3: Cross multiply
    70.76x = 105.75 × 70.16
  4. Step 4: Simplify right side
    70.76x = 7,418.89
  5. Step 5: Solve for x
    x = 7,418.89/70.76
  6. Step 6: Final answer
    x = 104.85

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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.