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Finding the Fourth Proportional to 106.19, 146.51 and 89.66

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Solution

The fourth proportional to 106.19, 146.51 and 89.66 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 146.51 = 89.66 : x
  2. Step 2: Convert to fraction form
    106.19/146.51 = 89.66/x
  3. Step 3: Cross multiply
    106.19x = 146.51 × 89.66
  4. Step 4: Simplify right side
    106.19x = 13,134.91
  5. Step 5: Solve for x
    x = 13,134.91/106.19
  6. Step 6: Final answer
    x = 123.70

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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.