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Finding the Fourth Proportional to 94.64, 130.69 and 65.14

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Solution

The fourth proportional to 94.64, 130.69 and 65.14 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 130.69 = 65.14 : x
  2. Step 2: Convert to fraction form
    94.64/130.69 = 65.14/x
  3. Step 3: Cross multiply
    94.64x = 130.69 × 65.14
  4. Step 4: Simplify right side
    94.64x = 8,513.15
  5. Step 5: Solve for x
    x = 8,513.15/94.64
  6. Step 6: Final answer
    x = 89.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.