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Finding the Fourth Proportional to 123.10, 169.89 and 70.64

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Solution

The fourth proportional to 123.10, 169.89 and 70.64 is: 97.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 169.89 = 70.64 : x
  2. Step 2: Convert to fraction form
    123.10/169.89 = 70.64/x
  3. Step 3: Cross multiply
    123.10x = 169.89 × 70.64
  4. Step 4: Simplify right side
    123.10x = 12,001.21
  5. Step 5: Solve for x
    x = 12,001.21/123.10
  6. Step 6: Final answer
    x = 97.50

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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.