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Finding the Fourth Proportional to 116.83, 175.25 and 39.77

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Solution

The fourth proportional to 116.83, 175.25 and 39.77 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.83 : 175.25 = 39.77 : x
  2. Step 2: Convert to fraction form
    116.83/175.25 = 39.77/x
  3. Step 3: Cross multiply
    116.83x = 175.25 × 39.77
  4. Step 4: Simplify right side
    116.83x = 6,970.23
  5. Step 5: Solve for x
    x = 6,970.23/116.83
  6. Step 6: Final answer
    x = 59.66

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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.