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Finding the Fourth Proportional to 45.99, 63.47 and 26.59

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Solution

The fourth proportional to 45.99, 63.47 and 26.59 is: 36.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.99 : 63.47 = 26.59 : x
  2. Step 2: Convert to fraction form
    45.99/63.47 = 26.59/x
  3. Step 3: Cross multiply
    45.99x = 63.47 × 26.59
  4. Step 4: Simplify right side
    45.99x = 1,687.67
  5. Step 5: Solve for x
    x = 1,687.67/45.99
  6. Step 6: Final answer
    x = 36.70

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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.