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Finding the Fourth Proportional to 152.56, 210.54 and 100.84

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Solution

The fourth proportional to 152.56, 210.54 and 100.84 is: 139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 210.54 = 100.84 : x
  2. Step 2: Convert to fraction form
    152.56/210.54 = 100.84/x
  3. Step 3: Cross multiply
    152.56x = 210.54 × 100.84
  4. Step 4: Simplify right side
    152.56x = 21,230.85
  5. Step 5: Solve for x
    x = 21,230.85/152.56
  6. Step 6: Final answer
    x = 139.16

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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.