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Finding the Fourth Proportional to 67.90, 102.34 and 60.16

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Solution

The fourth proportional to 67.90, 102.34 and 60.16 is: 90.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.90 : 102.34 = 60.16 : x
  2. Step 2: Convert to fraction form
    67.90/102.34 = 60.16/x
  3. Step 3: Cross multiply
    67.90x = 102.34 × 60.16
  4. Step 4: Simplify right side
    67.90x = 6,156.77
  5. Step 5: Solve for x
    x = 6,156.77/67.90
  6. Step 6: Final answer
    x = 90.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.