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Finding the Fourth Proportional to 152.06, 228.08 and 88.08

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Solution

The fourth proportional to 152.06, 228.08 and 88.08 is: 132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 228.08 = 88.08 : x
  2. Step 2: Convert to fraction form
    152.06/228.08 = 88.08/x
  3. Step 3: Cross multiply
    152.06x = 228.08 × 88.08
  4. Step 4: Simplify right side
    152.06x = 20,089.29
  5. Step 5: Solve for x
    x = 20,089.29/152.06
  6. Step 6: Final answer
    x = 132.11

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Why These Related Problems?

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