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Finding the Fourth Proportional to 66, 91.19 and 52.88

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Solution

The fourth proportional to 66, 91.19 and 52.88 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 91.19 = 52.88 : x
  2. Step 2: Convert to fraction form
    66/91.19 = 52.88/x
  3. Step 3: Cross multiply
    66x = 91.19 × 52.88
  4. Step 4: Simplify right side
    66x = 4,821.41
  5. Step 5: Solve for x
    x = 4,821.41/66
  6. Step 6: Final answer
    x = 73.05

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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.