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Finding the Fourth Proportional to 139.32, 192.08 and 127.84

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Solution

The fourth proportional to 139.32, 192.08 and 127.84 is: 176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 192.08 = 127.84 : x
  2. Step 2: Convert to fraction form
    139.32/192.08 = 127.84/x
  3. Step 3: Cross multiply
    139.32x = 192.08 × 127.84
  4. Step 4: Simplify right side
    139.32x = 24,555.51
  5. Step 5: Solve for x
    x = 24,555.51/139.32
  6. Step 6: Final answer
    x = 176.25

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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.