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Finding the Fourth Proportional to 93.13, 128.49 and 53.78

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Solution

The fourth proportional to 93.13, 128.49 and 53.78 is: 74.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.13 : 128.49 = 53.78 : x
  2. Step 2: Convert to fraction form
    93.13/128.49 = 53.78/x
  3. Step 3: Cross multiply
    93.13x = 128.49 × 53.78
  4. Step 4: Simplify right side
    93.13x = 6,910.42
  5. Step 5: Solve for x
    x = 6,910.42/93.13
  6. Step 6: Final answer
    x = 74.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.