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Finding the Fourth Proportional to 93.21, 128.66 and 65.59

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Solution

The fourth proportional to 93.21, 128.66 and 65.59 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.21 : 128.66 = 65.59 : x
  2. Step 2: Convert to fraction form
    93.21/128.66 = 65.59/x
  3. Step 3: Cross multiply
    93.21x = 128.66 × 65.59
  4. Step 4: Simplify right side
    93.21x = 8,438.52
  5. Step 5: Solve for x
    x = 8,438.52/93.21
  6. Step 6: Final answer
    x = 90.54

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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.