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Finding the Fourth Proportional to 152.05, 228.08 and 60.75

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Solution

The fourth proportional to 152.05, 228.08 and 60.75 is: 91.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.05 : 228.08 = 60.75 : x
  2. Step 2: Convert to fraction form
    152.05/228.08 = 60.75/x
  3. Step 3: Cross multiply
    152.05x = 228.08 × 60.75
  4. Step 4: Simplify right side
    152.05x = 13,855.86
  5. Step 5: Solve for x
    x = 13,855.86/152.05
  6. Step 6: Final answer
    x = 91.13

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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.