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Finding the Fourth Proportional to 152.06, 228.15 and 87.05

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Solution

The fourth proportional to 152.06, 228.15 and 87.05 is: 130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 228.15 = 87.05 : x
  2. Step 2: Convert to fraction form
    152.06/228.15 = 87.05/x
  3. Step 3: Cross multiply
    152.06x = 228.15 × 87.05
  4. Step 4: Simplify right side
    152.06x = 19,861.03
  5. Step 5: Solve for x
    x = 19,861.03/152.06
  6. Step 6: Final answer
    x = 130.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.