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Finding the Fourth Proportional to 152.83, 210.89 and 87.33

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Solution

The fourth proportional to 152.83, 210.89 and 87.33 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.83 : 210.89 = 87.33 : x
  2. Step 2: Convert to fraction form
    152.83/210.89 = 87.33/x
  3. Step 3: Cross multiply
    152.83x = 210.89 × 87.33
  4. Step 4: Simplify right side
    152.83x = 18,417.02
  5. Step 5: Solve for x
    x = 18,417.02/152.83
  6. Step 6: Final answer
    x = 120.51

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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.