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Finding the Fourth Proportional to 102.58, 152.75 and 102.10

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Solution

The fourth proportional to 102.58, 152.75 and 102.10 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 152.75 = 102.10 : x
  2. Step 2: Convert to fraction form
    102.58/152.75 = 102.10/x
  3. Step 3: Cross multiply
    102.58x = 152.75 × 102.10
  4. Step 4: Simplify right side
    102.58x = 15,595.78
  5. Step 5: Solve for x
    x = 15,595.78/102.58
  6. Step 6: Final answer
    x = 152.04

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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.