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Finding the Fourth Proportional to 100.09, 138.07 and 65.13

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Solution

The fourth proportional to 100.09, 138.07 and 65.13 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 138.07 = 65.13 : x
  2. Step 2: Convert to fraction form
    100.09/138.07 = 65.13/x
  3. Step 3: Cross multiply
    100.09x = 138.07 × 65.13
  4. Step 4: Simplify right side
    100.09x = 8,992.50
  5. Step 5: Solve for x
    x = 8,992.50/100.09
  6. Step 6: Final answer
    x = 89.84

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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.