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Finding the Fourth Proportional to 93.64, 129 and 64.48

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Solution

The fourth proportional to 93.64, 129 and 64.48 is: 88.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 129 = 64.48 : x
  2. Step 2: Convert to fraction form
    93.64/129 = 64.48/x
  3. Step 3: Cross multiply
    93.64x = 129 × 64.48
  4. Step 4: Simplify right side
    93.64x = 8,317.92
  5. Step 5: Solve for x
    x = 8,317.92/93.64
  6. Step 6: Final answer
    x = 88.83

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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.