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Finding the Fourth Proportional to 106.19, 146.55 and 61.93

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Solution

The fourth proportional to 106.19, 146.55 and 61.93 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 146.55 = 61.93 : x
  2. Step 2: Convert to fraction form
    106.19/146.55 = 61.93/x
  3. Step 3: Cross multiply
    106.19x = 146.55 × 61.93
  4. Step 4: Simplify right side
    106.19x = 9,076.26
  5. Step 5: Solve for x
    x = 9,076.26/106.19
  6. Step 6: Final answer
    x = 85.47

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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.