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Finding the Fourth Proportional to 160.54, 221.58 and 102.34

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Solution

The fourth proportional to 160.54, 221.58 and 102.34 is: 141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.54 : 221.58 = 102.34 : x
  2. Step 2: Convert to fraction form
    160.54/221.58 = 102.34/x
  3. Step 3: Cross multiply
    160.54x = 221.58 × 102.34
  4. Step 4: Simplify right side
    160.54x = 22,676.50
  5. Step 5: Solve for x
    x = 22,676.50/160.54
  6. Step 6: Final answer
    x = 141.25

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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.