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Finding the Fourth Proportional to 176.07, 242.96 and 97.37

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Solution

The fourth proportional to 176.07, 242.96 and 97.37 is: 134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.07 : 242.96 = 97.37 : x
  2. Step 2: Convert to fraction form
    176.07/242.96 = 97.37/x
  3. Step 3: Cross multiply
    176.07x = 242.96 × 97.37
  4. Step 4: Simplify right side
    176.07x = 23,655.31
  5. Step 5: Solve for x
    x = 23,655.31/176.07
  6. Step 6: Final answer
    x = 134.36

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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.