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Finding the Fourth Proportional to 75.30, 103.87 and 64.27

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Solution

The fourth proportional to 75.30, 103.87 and 64.27 is: 88.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 103.87 = 64.27 : x
  2. Step 2: Convert to fraction form
    75.30/103.87 = 64.27/x
  3. Step 3: Cross multiply
    75.30x = 103.87 × 64.27
  4. Step 4: Simplify right side
    75.30x = 6,675.72
  5. Step 5: Solve for x
    x = 6,675.72/75.30
  6. Step 6: Final answer
    x = 88.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.