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Finding the Fourth Proportional to 152.18, 210.29 and 100.50

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Solution

The fourth proportional to 152.18, 210.29 and 100.50 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.18 : 210.29 = 100.50 : x
  2. Step 2: Convert to fraction form
    152.18/210.29 = 100.50/x
  3. Step 3: Cross multiply
    152.18x = 210.29 × 100.50
  4. Step 4: Simplify right side
    152.18x = 21,134.15
  5. Step 5: Solve for x
    x = 21,134.15/152.18
  6. Step 6: Final answer
    x = 138.88

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