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Finding the Fourth Proportional to 101.84, 152.47 and 95.46

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Solution

The fourth proportional to 101.84, 152.47 and 95.46 is: 142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152.47 = 95.46 : x
  2. Step 2: Convert to fraction form
    101.84/152.47 = 95.46/x
  3. Step 3: Cross multiply
    101.84x = 152.47 × 95.46
  4. Step 4: Simplify right side
    101.84x = 14,554.79
  5. Step 5: Solve for x
    x = 14,554.79/101.84
  6. Step 6: Final answer
    x = 142.92

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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.