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Finding the Fourth Proportional to 152.31, 210.23 and 99.76

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Solution

The fourth proportional to 152.31, 210.23 and 99.76 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 210.23 = 99.76 : x
  2. Step 2: Convert to fraction form
    152.31/210.23 = 99.76/x
  3. Step 3: Cross multiply
    152.31x = 210.23 × 99.76
  4. Step 4: Simplify right side
    152.31x = 20,972.54
  5. Step 5: Solve for x
    x = 20,972.54/152.31
  6. Step 6: Final answer
    x = 137.70

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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.