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Finding the Fourth Proportional to 152.80, 210.78 and 94.60

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Solution

The fourth proportional to 152.80, 210.78 and 94.60 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 210.78 = 94.60 : x
  2. Step 2: Convert to fraction form
    152.80/210.78 = 94.60/x
  3. Step 3: Cross multiply
    152.80x = 210.78 × 94.60
  4. Step 4: Simplify right side
    152.80x = 19,939.79
  5. Step 5: Solve for x
    x = 19,939.79/152.80
  6. Step 6: Final answer
    x = 130.50

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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.