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Finding the Fourth Proportional to 176.46, 264.72 and 54.72

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Solution

The fourth proportional to 176.46, 264.72 and 54.72 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.46 : 264.72 = 54.72 : x
  2. Step 2: Convert to fraction form
    176.46/264.72 = 54.72/x
  3. Step 3: Cross multiply
    176.46x = 264.72 × 54.72
  4. Step 4: Simplify right side
    176.46x = 14,485.48
  5. Step 5: Solve for x
    x = 14,485.48/176.46
  6. Step 6: Final answer
    x = 82.09

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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.