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Finding the Fourth Proportional to 117.72, 176.46 and 90.72

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Solution

The fourth proportional to 117.72, 176.46 and 90.72 is: 135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 176.46 = 90.72 : x
  2. Step 2: Convert to fraction form
    117.72/176.46 = 90.72/x
  3. Step 3: Cross multiply
    117.72x = 176.46 × 90.72
  4. Step 4: Simplify right side
    117.72x = 16,008.45
  5. Step 5: Solve for x
    x = 16,008.45/117.72
  6. Step 6: Final answer
    x = 135.99

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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.