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Finding the Fourth Proportional to 93.67, 128.87 and 71.80

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Solution

The fourth proportional to 93.67, 128.87 and 71.80 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.67 : 128.87 = 71.80 : x
  2. Step 2: Convert to fraction form
    93.67/128.87 = 71.80/x
  3. Step 3: Cross multiply
    93.67x = 128.87 × 71.80
  4. Step 4: Simplify right side
    93.67x = 9,252.51
  5. Step 5: Solve for x
    x = 9,252.51/93.67
  6. Step 6: Final answer
    x = 98.78

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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.