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Finding the Fourth Proportional to 152.84, 210.68 and 111.33

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Solution

The fourth proportional to 152.84, 210.68 and 111.33 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.84 : 210.68 = 111.33 : x
  2. Step 2: Convert to fraction form
    152.84/210.68 = 111.33/x
  3. Step 3: Cross multiply
    152.84x = 210.68 × 111.33
  4. Step 4: Simplify right side
    152.84x = 23,454.45
  5. Step 5: Solve for x
    x = 23,454.45/152.84
  6. Step 6: Final answer
    x = 153.46

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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.