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Finding the Fourth Proportional to 59.04, 81.47 and 33.16

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Solution

The fourth proportional to 59.04, 81.47 and 33.16 is: 45.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.04 : 81.47 = 33.16 : x
  2. Step 2: Convert to fraction form
    59.04/81.47 = 33.16/x
  3. Step 3: Cross multiply
    59.04x = 81.47 × 33.16
  4. Step 4: Simplify right side
    59.04x = 2,701.63
  5. Step 5: Solve for x
    x = 2,701.63/59.04
  6. Step 6: Final answer
    x = 45.76

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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.