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Finding the Fourth Proportional to 123.16, 170.10 and 106.12

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Solution

The fourth proportional to 123.16, 170.10 and 106.12 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 170.10 = 106.12 : x
  2. Step 2: Convert to fraction form
    123.16/170.10 = 106.12/x
  3. Step 3: Cross multiply
    123.16x = 170.10 × 106.12
  4. Step 4: Simplify right side
    123.16x = 18,051.01
  5. Step 5: Solve for x
    x = 18,051.01/123.16
  6. Step 6: Final answer
    x = 146.57

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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.