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Finding the Fourth Proportional to 47.84, 65.55 and 47.24

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Solution

The fourth proportional to 47.84, 65.55 and 47.24 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 65.55 = 47.24 : x
  2. Step 2: Convert to fraction form
    47.84/65.55 = 47.24/x
  3. Step 3: Cross multiply
    47.84x = 65.55 × 47.24
  4. Step 4: Simplify right side
    47.84x = 3,096.35
  5. Step 5: Solve for x
    x = 3,096.35/47.84
  6. Step 6: Final answer
    x = 64.72

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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.