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Finding the Fourth Proportional to 56.76, 78.40 and 48.49

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Solution

The fourth proportional to 56.76, 78.40 and 48.49 is: 66.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 78.40 = 48.49 : x
  2. Step 2: Convert to fraction form
    56.76/78.40 = 48.49/x
  3. Step 3: Cross multiply
    56.76x = 78.40 × 48.49
  4. Step 4: Simplify right side
    56.76x = 3,801.62
  5. Step 5: Solve for x
    x = 3,801.62/56.76
  6. Step 6: Final answer
    x = 66.98

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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.