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Finding the Fourth Proportional to 107.34, 160.22 and 97.77

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Solution

The fourth proportional to 107.34, 160.22 and 97.77 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 160.22 = 97.77 : x
  2. Step 2: Convert to fraction form
    107.34/160.22 = 97.77/x
  3. Step 3: Cross multiply
    107.34x = 160.22 × 97.77
  4. Step 4: Simplify right side
    107.34x = 15,664.22
  5. Step 5: Solve for x
    x = 15,664.22/107.34
  6. Step 6: Final answer
    x = 145.93

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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.