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Finding the Fourth Proportional to 93.15, 139.19 and 75.06

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Solution

The fourth proportional to 93.15, 139.19 and 75.06 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.15 : 139.19 = 75.06 : x
  2. Step 2: Convert to fraction form
    93.15/139.19 = 75.06/x
  3. Step 3: Cross multiply
    93.15x = 139.19 × 75.06
  4. Step 4: Simplify right side
    93.15x = 10,447.23
  5. Step 5: Solve for x
    x = 10,447.23/93.15
  6. Step 6: Final answer
    x = 112.15

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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.