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Finding the Fourth Proportional to 93.96, 140.80 and 48.24

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Solution

The fourth proportional to 93.96, 140.80 and 48.24 is: 72.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.96 : 140.80 = 48.24 : x
  2. Step 2: Convert to fraction form
    93.96/140.80 = 48.24/x
  3. Step 3: Cross multiply
    93.96x = 140.80 × 48.24
  4. Step 4: Simplify right side
    93.96x = 6,792.19
  5. Step 5: Solve for x
    x = 6,792.19/93.96
  6. Step 6: Final answer
    x = 72.29

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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.