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Finding the Fourth Proportional to 152.89, 210.70 and 111.32

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Solution

The fourth proportional to 152.89, 210.70 and 111.32 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 210.70 = 111.32 : x
  2. Step 2: Convert to fraction form
    152.89/210.70 = 111.32/x
  3. Step 3: Cross multiply
    152.89x = 210.70 × 111.32
  4. Step 4: Simplify right side
    152.89x = 23,456.18
  5. Step 5: Solve for x
    x = 23,456.18/152.89
  6. Step 6: Final answer
    x = 153.42

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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.