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Finding the Fourth Proportional to 152.54, 210.43 and 90.33

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Solution

The fourth proportional to 152.54, 210.43 and 90.33 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 210.43 = 90.33 : x
  2. Step 2: Convert to fraction form
    152.54/210.43 = 90.33/x
  3. Step 3: Cross multiply
    152.54x = 210.43 × 90.33
  4. Step 4: Simplify right side
    152.54x = 19,008.14
  5. Step 5: Solve for x
    x = 19,008.14/152.54
  6. Step 6: Final answer
    x = 124.61

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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.