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Finding the Fourth Proportional to 152.41, 228.64 and 61.11

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Solution

The fourth proportional to 152.41, 228.64 and 61.11 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 228.64 = 61.11 : x
  2. Step 2: Convert to fraction form
    152.41/228.64 = 61.11/x
  3. Step 3: Cross multiply
    152.41x = 228.64 × 61.11
  4. Step 4: Simplify right side
    152.41x = 13,972.19
  5. Step 5: Solve for x
    x = 13,972.19/152.41
  6. Step 6: Final answer
    x = 91.68

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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.