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Finding the Fourth Proportional to 75.13, 103.45 and 65.86

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Solution

The fourth proportional to 75.13, 103.45 and 65.86 is: 90.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.13 : 103.45 = 65.86 : x
  2. Step 2: Convert to fraction form
    75.13/103.45 = 65.86/x
  3. Step 3: Cross multiply
    75.13x = 103.45 × 65.86
  4. Step 4: Simplify right side
    75.13x = 6,813.22
  5. Step 5: Solve for x
    x = 6,813.22/75.13
  6. Step 6: Final answer
    x = 90.69

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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.