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Finding the Fourth Proportional to 119.02, 178.45 and 58.03

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Solution

The fourth proportional to 119.02, 178.45 and 58.03 is: 87.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.02 : 178.45 = 58.03 : x
  2. Step 2: Convert to fraction form
    119.02/178.45 = 58.03/x
  3. Step 3: Cross multiply
    119.02x = 178.45 × 58.03
  4. Step 4: Simplify right side
    119.02x = 10,355.45
  5. Step 5: Solve for x
    x = 10,355.45/119.02
  6. Step 6: Final answer
    x = 87.01

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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.