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Finding the Fourth Proportional to 93.82, 129.50 and 61.08

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Solution

The fourth proportional to 93.82, 129.50 and 61.08 is: 84.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.82 : 129.50 = 61.08 : x
  2. Step 2: Convert to fraction form
    93.82/129.50 = 61.08/x
  3. Step 3: Cross multiply
    93.82x = 129.50 × 61.08
  4. Step 4: Simplify right side
    93.82x = 7,909.86
  5. Step 5: Solve for x
    x = 7,909.86/93.82
  6. Step 6: Final answer
    x = 84.31

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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.