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Finding the Fourth Proportional to 56.31, 84.06 and 47.69

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Solution

The fourth proportional to 56.31, 84.06 and 47.69 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.31 : 84.06 = 47.69 : x
  2. Step 2: Convert to fraction form
    56.31/84.06 = 47.69/x
  3. Step 3: Cross multiply
    56.31x = 84.06 × 47.69
  4. Step 4: Simplify right side
    56.31x = 4,008.82
  5. Step 5: Solve for x
    x = 4,008.82/56.31
  6. Step 6: Final answer
    x = 71.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.