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Finding the Fourth Proportional to 124.37, 171.54 and 77.70

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Solution

The fourth proportional to 124.37, 171.54 and 77.70 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 171.54 = 77.70 : x
  2. Step 2: Convert to fraction form
    124.37/171.54 = 77.70/x
  3. Step 3: Cross multiply
    124.37x = 171.54 × 77.70
  4. Step 4: Simplify right side
    124.37x = 13,328.66
  5. Step 5: Solve for x
    x = 13,328.66/124.37
  6. Step 6: Final answer
    x = 107.17

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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.