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Finding the Fourth Proportional to 93.53, 139.55 and 83.27

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Solution

The fourth proportional to 93.53, 139.55 and 83.27 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.53 : 139.55 = 83.27 : x
  2. Step 2: Convert to fraction form
    93.53/139.55 = 83.27/x
  3. Step 3: Cross multiply
    93.53x = 139.55 × 83.27
  4. Step 4: Simplify right side
    93.53x = 11,620.26
  5. Step 5: Solve for x
    x = 11,620.26/93.53
  6. Step 6: Final answer
    x = 124.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.