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Finding the Fourth Proportional to 75.20, 112.14 and 65.48

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Solution

The fourth proportional to 75.20, 112.14 and 65.48 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 112.14 = 65.48 : x
  2. Step 2: Convert to fraction form
    75.20/112.14 = 65.48/x
  3. Step 3: Cross multiply
    75.20x = 112.14 × 65.48
  4. Step 4: Simplify right side
    75.20x = 7,342.37
  5. Step 5: Solve for x
    x = 7,342.37/75.20
  6. Step 6: Final answer
    x = 97.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.