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Finding the Fourth Proportional to 47.08, 70.99 and 40

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Solution

The fourth proportional to 47.08, 70.99 and 40 is: 60.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.08 : 70.99 = 40 : x
  2. Step 2: Convert to fraction form
    47.08/70.99 = 40/x
  3. Step 3: Cross multiply
    47.08x = 70.99 × 40
  4. Step 4: Simplify right side
    47.08x = 2,839.60
  5. Step 5: Solve for x
    x = 2,839.60/47.08
  6. Step 6: Final answer
    x = 60.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.