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Finding the Fourth Proportional to 40.58, 56.00 and 24.83

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Solution

The fourth proportional to 40.58, 56.00 and 24.83 is: 34.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.58 : 56.00 = 24.83 : x
  2. Step 2: Convert to fraction form
    40.58/56.00 = 24.83/x
  3. Step 3: Cross multiply
    40.58x = 56.00 × 24.83
  4. Step 4: Simplify right side
    40.58x = 1,390.26
  5. Step 5: Solve for x
    x = 1,390.26/40.58
  6. Step 6: Final answer
    x = 34.26

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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.