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Finding the Fourth Proportional to 56.53, 77.97 and 47.81

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Solution

The fourth proportional to 56.53, 77.97 and 47.81 is: 65.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 77.97 = 47.81 : x
  2. Step 2: Convert to fraction form
    56.53/77.97 = 47.81/x
  3. Step 3: Cross multiply
    56.53x = 77.97 × 47.81
  4. Step 4: Simplify right side
    56.53x = 3,727.51
  5. Step 5: Solve for x
    x = 3,727.51/56.53
  6. Step 6: Final answer
    x = 65.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.