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Finding the Fourth Proportional to 51.47, 71.04 and 33.08

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Solution

The fourth proportional to 51.47, 71.04 and 33.08 is: 45.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 71.04 = 33.08 : x
  2. Step 2: Convert to fraction form
    51.47/71.04 = 33.08/x
  3. Step 3: Cross multiply
    51.47x = 71.04 × 33.08
  4. Step 4: Simplify right side
    51.47x = 2,349.77
  5. Step 5: Solve for x
    x = 2,349.77/51.47
  6. Step 6: Final answer
    x = 45.65

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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.