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Finding the Fourth Proportional to 93.63, 140.25 and 64.66

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Solution

The fourth proportional to 93.63, 140.25 and 64.66 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 140.25 = 64.66 : x
  2. Step 2: Convert to fraction form
    93.63/140.25 = 64.66/x
  3. Step 3: Cross multiply
    93.63x = 140.25 × 64.66
  4. Step 4: Simplify right side
    93.63x = 9,068.57
  5. Step 5: Solve for x
    x = 9,068.57/93.63
  6. Step 6: Final answer
    x = 96.86

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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.