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Finding the Fourth Proportional to 160.17, 240.03 and 102.21

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Solution

The fourth proportional to 160.17, 240.03 and 102.21 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 240.03 = 102.21 : x
  2. Step 2: Convert to fraction form
    160.17/240.03 = 102.21/x
  3. Step 3: Cross multiply
    160.17x = 240.03 × 102.21
  4. Step 4: Simplify right side
    160.17x = 24,533.47
  5. Step 5: Solve for x
    x = 24,533.47/160.17
  6. Step 6: Final answer
    x = 153.17

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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.