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Finding the Fourth Proportional to 56.71, 77.95 and 48.48

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Solution

The fourth proportional to 56.71, 77.95 and 48.48 is: 66.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 77.95 = 48.48 : x
  2. Step 2: Convert to fraction form
    56.71/77.95 = 48.48/x
  3. Step 3: Cross multiply
    56.71x = 77.95 × 48.48
  4. Step 4: Simplify right side
    56.71x = 3,779.02
  5. Step 5: Solve for x
    x = 3,779.02/56.71
  6. Step 6: Final answer
    x = 66.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.