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Finding the Fourth Proportional to 152.07, 228.02 and 65.38

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Solution

The fourth proportional to 152.07, 228.02 and 65.38 is: 98.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 228.02 = 65.38 : x
  2. Step 2: Convert to fraction form
    152.07/228.02 = 65.38/x
  3. Step 3: Cross multiply
    152.07x = 228.02 × 65.38
  4. Step 4: Simplify right side
    152.07x = 14,907.54
  5. Step 5: Solve for x
    x = 14,907.54/152.07
  6. Step 6: Final answer
    x = 98.03

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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.