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Finding the Fourth Proportional to 102.02, 152.96 and 65.93

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Solution

The fourth proportional to 102.02, 152.96 and 65.93 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 152.96 = 65.93 : x
  2. Step 2: Convert to fraction form
    102.02/152.96 = 65.93/x
  3. Step 3: Cross multiply
    102.02x = 152.96 × 65.93
  4. Step 4: Simplify right side
    102.02x = 10,084.65
  5. Step 5: Solve for x
    x = 10,084.65/102.02
  6. Step 6: Final answer
    x = 98.85

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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.