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Finding the Fourth Proportional to 152.01, 228.15 and 75.03

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Solution

The fourth proportional to 152.01, 228.15 and 75.03 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 228.15 = 75.03 : x
  2. Step 2: Convert to fraction form
    152.01/228.15 = 75.03/x
  3. Step 3: Cross multiply
    152.01x = 228.15 × 75.03
  4. Step 4: Simplify right side
    152.01x = 17,118.09
  5. Step 5: Solve for x
    x = 17,118.09/152.01
  6. Step 6: Final answer
    x = 112.61

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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.