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Finding the Fourth Proportional to 93.31, 128.76 and 51.86

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Solution

The fourth proportional to 93.31, 128.76 and 51.86 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.31 : 128.76 = 51.86 : x
  2. Step 2: Convert to fraction form
    93.31/128.76 = 51.86/x
  3. Step 3: Cross multiply
    93.31x = 128.76 × 51.86
  4. Step 4: Simplify right side
    93.31x = 6,677.55
  5. Step 5: Solve for x
    x = 6,677.55/93.31
  6. Step 6: Final answer
    x = 71.56

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