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Finding the Fourth Proportional to 102.50, 152.85 and 95.06

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Solution

The fourth proportional to 102.50, 152.85 and 95.06 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 152.85 = 95.06 : x
  2. Step 2: Convert to fraction form
    102.50/152.85 = 95.06/x
  3. Step 3: Cross multiply
    102.50x = 152.85 × 95.06
  4. Step 4: Simplify right side
    102.50x = 14,529.45
  5. Step 5: Solve for x
    x = 14,529.45/102.50
  6. Step 6: Final answer
    x = 141.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.