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Finding the Fourth Proportional to 176.77, 243.95 and 103.07

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Solution

The fourth proportional to 176.77, 243.95 and 103.07 is: 142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 243.95 = 103.07 : x
  2. Step 2: Convert to fraction form
    176.77/243.95 = 103.07/x
  3. Step 3: Cross multiply
    176.77x = 243.95 × 103.07
  4. Step 4: Simplify right side
    176.77x = 25,144.53
  5. Step 5: Solve for x
    x = 25,144.53/176.77
  6. Step 6: Final answer
    x = 142.25

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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.