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Finding the Fourth Proportional to 75.65, 104.51 and 56.48

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Solution

The fourth proportional to 75.65, 104.51 and 56.48 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 104.51 = 56.48 : x
  2. Step 2: Convert to fraction form
    75.65/104.51 = 56.48/x
  3. Step 3: Cross multiply
    75.65x = 104.51 × 56.48
  4. Step 4: Simplify right side
    75.65x = 5,902.44
  5. Step 5: Solve for x
    x = 5,902.44/75.65
  6. Step 6: Final answer
    x = 78.02

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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.