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Finding the Fourth Proportional to 68.53, 95.04 and 66.10

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Solution

The fourth proportional to 68.53, 95.04 and 66.10 is: 91.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.53 : 95.04 = 66.10 : x
  2. Step 2: Convert to fraction form
    68.53/95.04 = 66.10/x
  3. Step 3: Cross multiply
    68.53x = 95.04 × 66.10
  4. Step 4: Simplify right side
    68.53x = 6,281.78
  5. Step 5: Solve for x
    x = 6,281.78/68.53
  6. Step 6: Final answer
    x = 91.67

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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.