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Finding the Fourth Proportional to 100.30, 138.36 and 69.16

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Solution

The fourth proportional to 100.30, 138.36 and 69.16 is: 95.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.30 : 138.36 = 69.16 : x
  2. Step 2: Convert to fraction form
    100.30/138.36 = 69.16/x
  3. Step 3: Cross multiply
    100.30x = 138.36 × 69.16
  4. Step 4: Simplify right side
    100.30x = 9,568.98
  5. Step 5: Solve for x
    x = 9,568.98/100.30
  6. Step 6: Final answer
    x = 95.40

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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.