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Finding the Fourth Proportional to 152.98, 211.10 and 87.50

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Solution

The fourth proportional to 152.98, 211.10 and 87.50 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.98 : 211.10 = 87.50 : x
  2. Step 2: Convert to fraction form
    152.98/211.10 = 87.50/x
  3. Step 3: Cross multiply
    152.98x = 211.10 × 87.50
  4. Step 4: Simplify right side
    152.98x = 18,471.25
  5. Step 5: Solve for x
    x = 18,471.25/152.98
  6. Step 6: Final answer
    x = 120.74

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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.