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Finding the Fourth Proportional to 152.51, 210.47 and 82.57

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Solution

The fourth proportional to 152.51, 210.47 and 82.57 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.51 : 210.47 = 82.57 : x
  2. Step 2: Convert to fraction form
    152.51/210.47 = 82.57/x
  3. Step 3: Cross multiply
    152.51x = 210.47 × 82.57
  4. Step 4: Simplify right side
    152.51x = 17,378.96
  5. Step 5: Solve for x
    x = 17,378.96/152.51
  6. Step 6: Final answer
    x = 113.95

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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.