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Finding the Fourth Proportional to 55.08, 75.98 and 31.76

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Solution

The fourth proportional to 55.08, 75.98 and 31.76 is: 43.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 75.98 = 31.76 : x
  2. Step 2: Convert to fraction form
    55.08/75.98 = 31.76/x
  3. Step 3: Cross multiply
    55.08x = 75.98 × 31.76
  4. Step 4: Simplify right side
    55.08x = 2,413.12
  5. Step 5: Solve for x
    x = 2,413.12/55.08
  6. Step 6: Final answer
    x = 43.81

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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.