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Finding the Fourth Proportional to 93.80, 139.93 and 77.72

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Solution

The fourth proportional to 93.80, 139.93 and 77.72 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 139.93 = 77.72 : x
  2. Step 2: Convert to fraction form
    93.80/139.93 = 77.72/x
  3. Step 3: Cross multiply
    93.80x = 139.93 × 77.72
  4. Step 4: Simplify right side
    93.80x = 10,875.36
  5. Step 5: Solve for x
    x = 10,875.36/93.80
  6. Step 6: Final answer
    x = 115.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.