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Finding the Fourth Proportional to 106.30, 146.37 and 95.50

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Solution

The fourth proportional to 106.30, 146.37 and 95.50 is: 131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 146.37 = 95.50 : x
  2. Step 2: Convert to fraction form
    106.30/146.37 = 95.50/x
  3. Step 3: Cross multiply
    106.30x = 146.37 × 95.50
  4. Step 4: Simplify right side
    106.30x = 13,978.34
  5. Step 5: Solve for x
    x = 13,978.34/106.30
  6. Step 6: Final answer
    x = 131.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.