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Finding the Fourth Proportional to 56.77, 78.18 and 48.58

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Solution

The fourth proportional to 56.77, 78.18 and 48.58 is: 66.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.77 : 78.18 = 48.58 : x
  2. Step 2: Convert to fraction form
    56.77/78.18 = 48.58/x
  3. Step 3: Cross multiply
    56.77x = 78.18 × 48.58
  4. Step 4: Simplify right side
    56.77x = 3,797.98
  5. Step 5: Solve for x
    x = 3,797.98/56.77
  6. Step 6: Final answer
    x = 66.90

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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.