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Finding the Fourth Proportional to 152.85, 210.93 and 82.91

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Solution

The fourth proportional to 152.85, 210.93 and 82.91 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.85 : 210.93 = 82.91 : x
  2. Step 2: Convert to fraction form
    152.85/210.93 = 82.91/x
  3. Step 3: Cross multiply
    152.85x = 210.93 × 82.91
  4. Step 4: Simplify right side
    152.85x = 17,488.41
  5. Step 5: Solve for x
    x = 17,488.41/152.85
  6. Step 6: Final answer
    x = 114.42

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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.