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Finding the Fourth Proportional to 176.15, 264.32 and 66.54

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Solution

The fourth proportional to 176.15, 264.32 and 66.54 is: 99.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 264.32 = 66.54 : x
  2. Step 2: Convert to fraction form
    176.15/264.32 = 66.54/x
  3. Step 3: Cross multiply
    176.15x = 264.32 × 66.54
  4. Step 4: Simplify right side
    176.15x = 17,588.02
  5. Step 5: Solve for x
    x = 17,588.02/176.15
  6. Step 6: Final answer
    x = 99.85

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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.