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Finding the Fourth Proportional to 48.16, 71.84 and 46.56

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Solution

The fourth proportional to 48.16, 71.84 and 46.56 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.16 : 71.84 = 46.56 : x
  2. Step 2: Convert to fraction form
    48.16/71.84 = 46.56/x
  3. Step 3: Cross multiply
    48.16x = 71.84 × 46.56
  4. Step 4: Simplify right side
    48.16x = 3,344.87
  5. Step 5: Solve for x
    x = 3,344.87/48.16
  6. Step 6: Final answer
    x = 69.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.