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Finding the Fourth Proportional to 48.01, 65.82 and 47.32

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Solution

The fourth proportional to 48.01, 65.82 and 47.32 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.01 : 65.82 = 47.32 : x
  2. Step 2: Convert to fraction form
    48.01/65.82 = 47.32/x
  3. Step 3: Cross multiply
    48.01x = 65.82 × 47.32
  4. Step 4: Simplify right side
    48.01x = 3,114.60
  5. Step 5: Solve for x
    x = 3,114.60/48.01
  6. Step 6: Final answer
    x = 64.87

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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.