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Finding the Fourth Proportional to 109.63, 152.07 and 106.93

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Solution

The fourth proportional to 109.63, 152.07 and 106.93 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 152.07 = 106.93 : x
  2. Step 2: Convert to fraction form
    109.63/152.07 = 106.93/x
  3. Step 3: Cross multiply
    109.63x = 152.07 × 106.93
  4. Step 4: Simplify right side
    109.63x = 16,260.85
  5. Step 5: Solve for x
    x = 16,260.85/109.63
  6. Step 6: Final answer
    x = 148.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.