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Finding the Fourth Proportional to 47.23, 65.15 and 40.70

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Solution

The fourth proportional to 47.23, 65.15 and 40.70 is: 56.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.23 : 65.15 = 40.70 : x
  2. Step 2: Convert to fraction form
    47.23/65.15 = 40.70/x
  3. Step 3: Cross multiply
    47.23x = 65.15 × 40.70
  4. Step 4: Simplify right side
    47.23x = 2,651.95
  5. Step 5: Solve for x
    x = 2,651.95/47.23
  6. Step 6: Final answer
    x = 56.15

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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.