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Finding the Fourth Proportional to 93.30, 139.76 and 75.22

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Solution

The fourth proportional to 93.30, 139.76 and 75.22 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.30 : 139.76 = 75.22 : x
  2. Step 2: Convert to fraction form
    93.30/139.76 = 75.22/x
  3. Step 3: Cross multiply
    93.30x = 139.76 × 75.22
  4. Step 4: Simplify right side
    93.30x = 10,512.75
  5. Step 5: Solve for x
    x = 10,512.75/93.30
  6. Step 6: Final answer
    x = 112.68

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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.