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Finding the Fourth Proportional to 56.58, 78.09 and 39.11

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Solution

The fourth proportional to 56.58, 78.09 and 39.11 is: 53.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.58 : 78.09 = 39.11 : x
  2. Step 2: Convert to fraction form
    56.58/78.09 = 39.11/x
  3. Step 3: Cross multiply
    56.58x = 78.09 × 39.11
  4. Step 4: Simplify right side
    56.58x = 3,053.71
  5. Step 5: Solve for x
    x = 3,053.71/56.58
  6. Step 6: Final answer
    x = 53.97

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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.