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Finding the Fourth Proportional to 75.06, 103.68 and 55.74

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Solution

The fourth proportional to 75.06, 103.68 and 55.74 is: 76.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.06 : 103.68 = 55.74 : x
  2. Step 2: Convert to fraction form
    75.06/103.68 = 55.74/x
  3. Step 3: Cross multiply
    75.06x = 103.68 × 55.74
  4. Step 4: Simplify right side
    75.06x = 5,779.12
  5. Step 5: Solve for x
    x = 5,779.12/75.06
  6. Step 6: Final answer
    x = 76.99

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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.