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Finding the Fourth Proportional to 75.46, 111.76 and 74.64

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Solution

The fourth proportional to 75.46, 111.76 and 74.64 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 111.76 = 74.64 : x
  2. Step 2: Convert to fraction form
    75.46/111.76 = 74.64/x
  3. Step 3: Cross multiply
    75.46x = 111.76 × 74.64
  4. Step 4: Simplify right side
    75.46x = 8,341.77
  5. Step 5: Solve for x
    x = 8,341.77/75.46
  6. Step 6: Final answer
    x = 110.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.