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Finding the Fourth Proportional to 93.26, 128.48 and 77.45

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Solution

The fourth proportional to 93.26, 128.48 and 77.45 is: 106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.26 : 128.48 = 77.45 : x
  2. Step 2: Convert to fraction form
    93.26/128.48 = 77.45/x
  3. Step 3: Cross multiply
    93.26x = 128.48 × 77.45
  4. Step 4: Simplify right side
    93.26x = 9,949.75
  5. Step 5: Solve for x
    x = 9,949.75/93.26
  6. Step 6: Final answer
    x = 106.69

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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.