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Finding the Fourth Proportional to 100.09, 138.08 and 61.25

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Solution

The fourth proportional to 100.09, 138.08 and 61.25 is: 84.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 138.08 = 61.25 : x
  2. Step 2: Convert to fraction form
    100.09/138.08 = 61.25/x
  3. Step 3: Cross multiply
    100.09x = 138.08 × 61.25
  4. Step 4: Simplify right side
    100.09x = 8,457.09
  5. Step 5: Solve for x
    x = 8,457.09/100.09
  6. Step 6: Final answer
    x = 84.50

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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.