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Finding the Fourth Proportional to 100.51, 138.73 and 59.07

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Solution

The fourth proportional to 100.51, 138.73 and 59.07 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.51 : 138.73 = 59.07 : x
  2. Step 2: Convert to fraction form
    100.51/138.73 = 59.07/x
  3. Step 3: Cross multiply
    100.51x = 138.73 × 59.07
  4. Step 4: Simplify right side
    100.51x = 8,195.32
  5. Step 5: Solve for x
    x = 8,195.32/100.51
  6. Step 6: Final answer
    x = 81.54

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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.