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Finding the Fourth Proportional to 152.63, 210.51 and 103.42

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Solution

The fourth proportional to 152.63, 210.51 and 103.42 is: 142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.63 : 210.51 = 103.42 : x
  2. Step 2: Convert to fraction form
    152.63/210.51 = 103.42/x
  3. Step 3: Cross multiply
    152.63x = 210.51 × 103.42
  4. Step 4: Simplify right side
    152.63x = 21,770.94
  5. Step 5: Solve for x
    x = 21,770.94/152.63
  6. Step 6: Final answer
    x = 142.64

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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.