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Finding the Fourth Proportional to 93.99, 129.95 and 83.05

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Solution

The fourth proportional to 93.99, 129.95 and 83.05 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.99 : 129.95 = 83.05 : x
  2. Step 2: Convert to fraction form
    93.99/129.95 = 83.05/x
  3. Step 3: Cross multiply
    93.99x = 129.95 × 83.05
  4. Step 4: Simplify right side
    93.99x = 10,792.35
  5. Step 5: Solve for x
    x = 10,792.35/93.99
  6. Step 6: Final answer
    x = 114.82

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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.