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Finding the Fourth Proportional to 56.09, 77.56 and 49.17

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Solution

The fourth proportional to 56.09, 77.56 and 49.17 is: 67.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.56 = 49.17 : x
  2. Step 2: Convert to fraction form
    56.09/77.56 = 49.17/x
  3. Step 3: Cross multiply
    56.09x = 77.56 × 49.17
  4. Step 4: Simplify right side
    56.09x = 3,813.47
  5. Step 5: Solve for x
    x = 3,813.47/56.09
  6. Step 6: Final answer
    x = 67.99

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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.