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Finding the Fourth Proportional to 160.02, 240.03 and 73.35

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Solution

The fourth proportional to 160.02, 240.03 and 73.35 is: 110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 240.03 = 73.35 : x
  2. Step 2: Convert to fraction form
    160.02/240.03 = 73.35/x
  3. Step 3: Cross multiply
    160.02x = 240.03 × 73.35
  4. Step 4: Simplify right side
    160.02x = 17,606.20
  5. Step 5: Solve for x
    x = 17,606.20/160.02
  6. Step 6: Final answer
    x = 110.03

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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.