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Finding the Fourth Proportional to 152.98, 210.85 and 106.33

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Solution

The fourth proportional to 152.98, 210.85 and 106.33 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.98 : 210.85 = 106.33 : x
  2. Step 2: Convert to fraction form
    152.98/210.85 = 106.33/x
  3. Step 3: Cross multiply
    152.98x = 210.85 × 106.33
  4. Step 4: Simplify right side
    152.98x = 22,419.68
  5. Step 5: Solve for x
    x = 22,419.68/152.98
  6. Step 6: Final answer
    x = 146.55

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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.