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Finding the Fourth Proportional to 94.06, 129.74 and 64.54

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Solution

The fourth proportional to 94.06, 129.74 and 64.54 is: 89.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.06 : 129.74 = 64.54 : x
  2. Step 2: Convert to fraction form
    94.06/129.74 = 64.54/x
  3. Step 3: Cross multiply
    94.06x = 129.74 × 64.54
  4. Step 4: Simplify right side
    94.06x = 8,372.77
  5. Step 5: Solve for x
    x = 8,372.77/94.06
  6. Step 6: Final answer
    x = 89.02

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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.