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Finding the Fourth Proportional to 93.77, 140.52 and 53.22

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Solution

The fourth proportional to 93.77, 140.52 and 53.22 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.77 : 140.52 = 53.22 : x
  2. Step 2: Convert to fraction form
    93.77/140.52 = 53.22/x
  3. Step 3: Cross multiply
    93.77x = 140.52 × 53.22
  4. Step 4: Simplify right side
    93.77x = 7,478.47
  5. Step 5: Solve for x
    x = 7,478.47/93.77
  6. Step 6: Final answer
    x = 79.76

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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.