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Finding the Fourth Proportional to 76.61, 105.75 and 52

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Solution

The fourth proportional to 76.61, 105.75 and 52 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.61 : 105.75 = 52 : x
  2. Step 2: Convert to fraction form
    76.61/105.75 = 52/x
  3. Step 3: Cross multiply
    76.61x = 105.75 × 52
  4. Step 4: Simplify right side
    76.61x = 5,499
  5. Step 5: Solve for x
    x = 5,499/76.61
  6. Step 6: Final answer
    x = 71.78

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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.