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Finding the Fourth Proportional to 135.23, 186.53 and 106.07

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Solution

The fourth proportional to 135.23, 186.53 and 106.07 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.23 : 186.53 = 106.07 : x
  2. Step 2: Convert to fraction form
    135.23/186.53 = 106.07/x
  3. Step 3: Cross multiply
    135.23x = 186.53 × 106.07
  4. Step 4: Simplify right side
    135.23x = 19,784.71
  5. Step 5: Solve for x
    x = 19,784.71/135.23
  6. Step 6: Final answer
    x = 146.30

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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.