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Finding the Fourth Proportional to 152.37, 210.13 and 102.69

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Solution

The fourth proportional to 152.37, 210.13 and 102.69 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 210.13 = 102.69 : x
  2. Step 2: Convert to fraction form
    152.37/210.13 = 102.69/x
  3. Step 3: Cross multiply
    152.37x = 210.13 × 102.69
  4. Step 4: Simplify right side
    152.37x = 21,577.74
  5. Step 5: Solve for x
    x = 21,577.74/152.37
  6. Step 6: Final answer
    x = 141.61

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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.