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Finding the Fourth Proportional to 152.16, 228.08 and 106.54

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Solution

The fourth proportional to 152.16, 228.08 and 106.54 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 228.08 = 106.54 : x
  2. Step 2: Convert to fraction form
    152.16/228.08 = 106.54/x
  3. Step 3: Cross multiply
    152.16x = 228.08 × 106.54
  4. Step 4: Simplify right side
    152.16x = 24,299.64
  5. Step 5: Solve for x
    x = 24,299.64/152.16
  6. Step 6: Final answer
    x = 159.70

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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.