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Finding the Fourth Proportional to 152.17, 210.10 and 102.42

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Solution

The fourth proportional to 152.17, 210.10 and 102.42 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.17 : 210.10 = 102.42 : x
  2. Step 2: Convert to fraction form
    152.17/210.10 = 102.42/x
  3. Step 3: Cross multiply
    152.17x = 210.10 × 102.42
  4. Step 4: Simplify right side
    152.17x = 21,517.40
  5. Step 5: Solve for x
    x = 21,517.40/152.17
  6. Step 6: Final answer
    x = 141.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.