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Finding the Fourth Proportional to 165.95, 248.77 and 57.71

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Solution

The fourth proportional to 165.95, 248.77 and 57.71 is: 86.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.95 : 248.77 = 57.71 : x
  2. Step 2: Convert to fraction form
    165.95/248.77 = 57.71/x
  3. Step 3: Cross multiply
    165.95x = 248.77 × 57.71
  4. Step 4: Simplify right side
    165.95x = 14,357.21
  5. Step 5: Solve for x
    x = 14,357.21/165.95
  6. Step 6: Final answer
    x = 86.52

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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.