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Finding the Fourth Proportional to 100.58, 138.51 and 82.08

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Solution

The fourth proportional to 100.58, 138.51 and 82.08 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.58 : 138.51 = 82.08 : x
  2. Step 2: Convert to fraction form
    100.58/138.51 = 82.08/x
  3. Step 3: Cross multiply
    100.58x = 138.51 × 82.08
  4. Step 4: Simplify right side
    100.58x = 11,368.90
  5. Step 5: Solve for x
    x = 11,368.90/100.58
  6. Step 6: Final answer
    x = 113.04

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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.