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Finding the Fourth Proportional to 152.65, 210.65 and 82.71

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Solution

The fourth proportional to 152.65, 210.65 and 82.71 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.65 : 210.65 = 82.71 : x
  2. Step 2: Convert to fraction form
    152.65/210.65 = 82.71/x
  3. Step 3: Cross multiply
    152.65x = 210.65 × 82.71
  4. Step 4: Simplify right side
    152.65x = 17,422.42
  5. Step 5: Solve for x
    x = 17,422.42/152.65
  6. Step 6: Final answer
    x = 114.13

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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.