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Finding the Fourth Proportional to 107.84, 162.45 and 107.30

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Solution

The fourth proportional to 107.84, 162.45 and 107.30 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 162.45 = 107.30 : x
  2. Step 2: Convert to fraction form
    107.84/162.45 = 107.30/x
  3. Step 3: Cross multiply
    107.84x = 162.45 × 107.30
  4. Step 4: Simplify right side
    107.84x = 17,430.89
  5. Step 5: Solve for x
    x = 17,430.89/107.84
  6. Step 6: Final answer
    x = 161.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.