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Finding the Fourth Proportional to 94.60, 141.90 and 64.09

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Solution

The fourth proportional to 94.60, 141.90 and 64.09 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 141.90 = 64.09 : x
  2. Step 2: Convert to fraction form
    94.60/141.90 = 64.09/x
  3. Step 3: Cross multiply
    94.60x = 141.90 × 64.09
  4. Step 4: Simplify right side
    94.60x = 9,094.02
  5. Step 5: Solve for x
    x = 9,094.02/94.60
  6. Step 6: Final answer
    x = 96.13

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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.