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Finding the Fourth Proportional to 152.55, 228.69 and 61.29

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Solution

The fourth proportional to 152.55, 228.69 and 61.29 is: 91.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.55 : 228.69 = 61.29 : x
  2. Step 2: Convert to fraction form
    152.55/228.69 = 61.29/x
  3. Step 3: Cross multiply
    152.55x = 228.69 × 61.29
  4. Step 4: Simplify right side
    152.55x = 14,016.41
  5. Step 5: Solve for x
    x = 14,016.41/152.55
  6. Step 6: Final answer
    x = 91.88

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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.