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Finding the Fourth Proportional to 152.44, 210.34 and 90.23

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Solution

The fourth proportional to 152.44, 210.34 and 90.23 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 210.34 = 90.23 : x
  2. Step 2: Convert to fraction form
    152.44/210.34 = 90.23/x
  3. Step 3: Cross multiply
    152.44x = 210.34 × 90.23
  4. Step 4: Simplify right side
    152.44x = 18,978.53
  5. Step 5: Solve for x
    x = 18,978.53/152.44
  6. Step 6: Final answer
    x = 124.50

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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.