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Finding the Fourth Proportional to 93.16, 128.57 and 76.76

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Solution

The fourth proportional to 93.16, 128.57 and 76.76 is: 105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.16 : 128.57 = 76.76 : x
  2. Step 2: Convert to fraction form
    93.16/128.57 = 76.76/x
  3. Step 3: Cross multiply
    93.16x = 128.57 × 76.76
  4. Step 4: Simplify right side
    93.16x = 9,869.03
  5. Step 5: Solve for x
    x = 9,869.03/93.16
  6. Step 6: Final answer
    x = 105.94

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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.