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Finding the Fourth Proportional to 152.60, 210.62 and 90.44

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Solution

The fourth proportional to 152.60, 210.62 and 90.44 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 210.62 = 90.44 : x
  2. Step 2: Convert to fraction form
    152.60/210.62 = 90.44/x
  3. Step 3: Cross multiply
    152.60x = 210.62 × 90.44
  4. Step 4: Simplify right side
    152.60x = 19,048.71
  5. Step 5: Solve for x
    x = 19,048.71/152.60
  6. Step 6: Final answer
    x = 124.83

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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.