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Finding the Fourth Proportional to 101.45, 152.10 and 52.63

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Solution

The fourth proportional to 101.45, 152.10 and 52.63 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 152.10 = 52.63 : x
  2. Step 2: Convert to fraction form
    101.45/152.10 = 52.63/x
  3. Step 3: Cross multiply
    101.45x = 152.10 × 52.63
  4. Step 4: Simplify right side
    101.45x = 8,005.02
  5. Step 5: Solve for x
    x = 8,005.02/101.45
  6. Step 6: Final answer
    x = 78.91

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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.