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Finding the Fourth Proportional to 152.09, 228.23 and 60.78

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Solution

The fourth proportional to 152.09, 228.23 and 60.78 is: 91.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.09 : 228.23 = 60.78 : x
  2. Step 2: Convert to fraction form
    152.09/228.23 = 60.78/x
  3. Step 3: Cross multiply
    152.09x = 228.23 × 60.78
  4. Step 4: Simplify right side
    152.09x = 13,871.66
  5. Step 5: Solve for x
    x = 13,871.66/152.09
  6. Step 6: Final answer
    x = 91.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.