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Finding the Fourth Proportional to 47.34, 65.04 and 45.78

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Solution

The fourth proportional to 47.34, 65.04 and 45.78 is: 62.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.04 = 45.78 : x
  2. Step 2: Convert to fraction form
    47.34/65.04 = 45.78/x
  3. Step 3: Cross multiply
    47.34x = 65.04 × 45.78
  4. Step 4: Simplify right side
    47.34x = 2,977.53
  5. Step 5: Solve for x
    x = 2,977.53/47.34
  6. Step 6: Final answer
    x = 62.90

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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.