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Finding the Fourth Proportional to 48.06, 65.70 and 47.88

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Solution

The fourth proportional to 48.06, 65.70 and 47.88 is: 65.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.06 : 65.70 = 47.88 : x
  2. Step 2: Convert to fraction form
    48.06/65.70 = 47.88/x
  3. Step 3: Cross multiply
    48.06x = 65.70 × 47.88
  4. Step 4: Simplify right side
    48.06x = 3,145.72
  5. Step 5: Solve for x
    x = 3,145.72/48.06
  6. Step 6: Final answer
    x = 65.45

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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.