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Finding the Fourth Proportional to 117.89, 176.89 and 45.80

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Solution

The fourth proportional to 117.89, 176.89 and 45.80 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 176.89 = 45.80 : x
  2. Step 2: Convert to fraction form
    117.89/176.89 = 45.80/x
  3. Step 3: Cross multiply
    117.89x = 176.89 × 45.80
  4. Step 4: Simplify right side
    117.89x = 8,101.89
  5. Step 5: Solve for x
    x = 8,101.89/117.89
  6. Step 6: Final answer
    x = 68.72

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