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Finding the Fourth Proportional to 152.34, 228.51 and 80.16

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Solution

The fourth proportional to 152.34, 228.51 and 80.16 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 228.51 = 80.16 : x
  2. Step 2: Convert to fraction form
    152.34/228.51 = 80.16/x
  3. Step 3: Cross multiply
    152.34x = 228.51 × 80.16
  4. Step 4: Simplify right side
    152.34x = 18,317.36
  5. Step 5: Solve for x
    x = 18,317.36/152.34
  6. Step 6: Final answer
    x = 120.24

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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.