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Finding the Fourth Proportional to 47.08, 64.78 and 45.88

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Solution

The fourth proportional to 47.08, 64.78 and 45.88 is: 63.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.08 : 64.78 = 45.88 : x
  2. Step 2: Convert to fraction form
    47.08/64.78 = 45.88/x
  3. Step 3: Cross multiply
    47.08x = 64.78 × 45.88
  4. Step 4: Simplify right side
    47.08x = 2,972.11
  5. Step 5: Solve for x
    x = 2,972.11/47.08
  6. Step 6: Final answer
    x = 63.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.