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Finding the Fourth Proportional to 152.86, 229.26 and 61.53

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Solution

The fourth proportional to 152.86, 229.26 and 61.53 is: 92.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 229.26 = 61.53 : x
  2. Step 2: Convert to fraction form
    152.86/229.26 = 61.53/x
  3. Step 3: Cross multiply
    152.86x = 229.26 × 61.53
  4. Step 4: Simplify right side
    152.86x = 14,106.37
  5. Step 5: Solve for x
    x = 14,106.37/152.86
  6. Step 6: Final answer
    x = 92.28

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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.