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Finding the Fourth Proportional to 75.09, 112.61 and 26.34

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Solution

The fourth proportional to 75.09, 112.61 and 26.34 is: 39.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 112.61 = 26.34 : x
  2. Step 2: Convert to fraction form
    75.09/112.61 = 26.34/x
  3. Step 3: Cross multiply
    75.09x = 112.61 × 26.34
  4. Step 4: Simplify right side
    75.09x = 2,966.02
  5. Step 5: Solve for x
    x = 2,966.02/75.09
  6. Step 6: Final answer
    x = 39.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.