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Finding the Fourth Proportional to 93.64, 129.44 and 71.77

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Solution

The fourth proportional to 93.64, 129.44 and 71.77 is: 99.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 129.44 = 71.77 : x
  2. Step 2: Convert to fraction form
    93.64/129.44 = 71.77/x
  3. Step 3: Cross multiply
    93.64x = 129.44 × 71.77
  4. Step 4: Simplify right side
    93.64x = 9,289.76
  5. Step 5: Solve for x
    x = 9,289.76/93.64
  6. Step 6: Final answer
    x = 99.21

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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.