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Finding the Fourth Proportional to 93.91, 129.64 and 64.56

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Solution

The fourth proportional to 93.91, 129.64 and 64.56 is: 89.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.91 : 129.64 = 64.56 : x
  2. Step 2: Convert to fraction form
    93.91/129.64 = 64.56/x
  3. Step 3: Cross multiply
    93.91x = 129.64 × 64.56
  4. Step 4: Simplify right side
    93.91x = 8,369.40
  5. Step 5: Solve for x
    x = 8,369.40/93.91
  6. Step 6: Final answer
    x = 89.12

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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.