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Finding the Fourth Proportional to 152.53, 228.01 and 113.65

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Solution

The fourth proportional to 152.53, 228.01 and 113.65 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.53 : 228.01 = 113.65 : x
  2. Step 2: Convert to fraction form
    152.53/228.01 = 113.65/x
  3. Step 3: Cross multiply
    152.53x = 228.01 × 113.65
  4. Step 4: Simplify right side
    152.53x = 25,913.34
  5. Step 5: Solve for x
    x = 25,913.34/152.53
  6. Step 6: Final answer
    x = 169.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.