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Finding the Fourth Proportional to 161.77, 242.35 and 127.45

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Solution

The fourth proportional to 161.77, 242.35 and 127.45 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.77 : 242.35 = 127.45 : x
  2. Step 2: Convert to fraction form
    161.77/242.35 = 127.45/x
  3. Step 3: Cross multiply
    161.77x = 242.35 × 127.45
  4. Step 4: Simplify right side
    161.77x = 30,887.51
  5. Step 5: Solve for x
    x = 30,887.51/161.77
  6. Step 6: Final answer
    x = 190.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.