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Finding the Fourth Proportional to 76.70, 106.58 and 75.74

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Solution

The fourth proportional to 76.70, 106.58 and 75.74 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 106.58 = 75.74 : x
  2. Step 2: Convert to fraction form
    76.70/106.58 = 75.74/x
  3. Step 3: Cross multiply
    76.70x = 106.58 × 75.74
  4. Step 4: Simplify right side
    76.70x = 8,071.46
  5. Step 5: Solve for x
    x = 8,071.46/76.70
  6. Step 6: Final answer
    x = 105.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.