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Finding the Fourth Proportional to 152.52, 210.56 and 100.84

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Solution

The fourth proportional to 152.52, 210.56 and 100.84 is: 139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 210.56 = 100.84 : x
  2. Step 2: Convert to fraction form
    152.52/210.56 = 100.84/x
  3. Step 3: Cross multiply
    152.52x = 210.56 × 100.84
  4. Step 4: Simplify right side
    152.52x = 21,232.87
  5. Step 5: Solve for x
    x = 21,232.87/152.52
  6. Step 6: Final answer
    x = 139.21

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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.