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Finding the Fourth Proportional to 56.58, 84.77 and 39.44

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Solution

The fourth proportional to 56.58, 84.77 and 39.44 is: 59.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.58 : 84.77 = 39.44 : x
  2. Step 2: Convert to fraction form
    56.58/84.77 = 39.44/x
  3. Step 3: Cross multiply
    56.58x = 84.77 × 39.44
  4. Step 4: Simplify right side
    56.58x = 3,342.71
  5. Step 5: Solve for x
    x = 3,342.71/56.58
  6. Step 6: Final answer
    x = 59.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.