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Finding the Fourth Proportional to 152.07, 228.14 and 75.09

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Solution

The fourth proportional to 152.07, 228.14 and 75.09 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 228.14 = 75.09 : x
  2. Step 2: Convert to fraction form
    152.07/228.14 = 75.09/x
  3. Step 3: Cross multiply
    152.07x = 228.14 × 75.09
  4. Step 4: Simplify right side
    152.07x = 17,129.80
  5. Step 5: Solve for x
    x = 17,129.80/152.07
  6. Step 6: Final answer
    x = 112.64

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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.