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Finding the Fourth Proportional to 75.17, 112.76 and 65.59

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Solution

The fourth proportional to 75.17, 112.76 and 65.59 is: 98.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.17 : 112.76 = 65.59 : x
  2. Step 2: Convert to fraction form
    75.17/112.76 = 65.59/x
  3. Step 3: Cross multiply
    75.17x = 112.76 × 65.59
  4. Step 4: Simplify right side
    75.17x = 7,395.93
  5. Step 5: Solve for x
    x = 7,395.93/75.17
  6. Step 6: Final answer
    x = 98.39

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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.