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Finding the Fourth Proportional to 102.07, 152.88 and 65.89

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Solution

The fourth proportional to 102.07, 152.88 and 65.89 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 152.88 = 65.89 : x
  2. Step 2: Convert to fraction form
    102.07/152.88 = 65.89/x
  3. Step 3: Cross multiply
    102.07x = 152.88 × 65.89
  4. Step 4: Simplify right side
    102.07x = 10,073.26
  5. Step 5: Solve for x
    x = 10,073.26/102.07
  6. Step 6: Final answer
    x = 98.69

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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.