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Finding the Fourth Proportional to 47.04, 70.78 and 42.06

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Solution

The fourth proportional to 47.04, 70.78 and 42.06 is: 63.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.04 : 70.78 = 42.06 : x
  2. Step 2: Convert to fraction form
    47.04/70.78 = 42.06/x
  3. Step 3: Cross multiply
    47.04x = 70.78 × 42.06
  4. Step 4: Simplify right side
    47.04x = 2,977.01
  5. Step 5: Solve for x
    x = 2,977.01/47.04
  6. Step 6: Final answer
    x = 63.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.