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Finding the Fourth Proportional to 75.48, 103.86 and 65.07

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Solution

The fourth proportional to 75.48, 103.86 and 65.07 is: 89.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 103.86 = 65.07 : x
  2. Step 2: Convert to fraction form
    75.48/103.86 = 65.07/x
  3. Step 3: Cross multiply
    75.48x = 103.86 × 65.07
  4. Step 4: Simplify right side
    75.48x = 6,758.17
  5. Step 5: Solve for x
    x = 6,758.17/75.48
  6. Step 6: Final answer
    x = 89.54

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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.