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Finding the Fourth Proportional to 119.17, 178.06 and 97.23

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Solution

The fourth proportional to 119.17, 178.06 and 97.23 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.17 : 178.06 = 97.23 : x
  2. Step 2: Convert to fraction form
    119.17/178.06 = 97.23/x
  3. Step 3: Cross multiply
    119.17x = 178.06 × 97.23
  4. Step 4: Simplify right side
    119.17x = 17,312.77
  5. Step 5: Solve for x
    x = 17,312.77/119.17
  6. Step 6: Final answer
    x = 145.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.