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Finding the Fourth Proportional to 152.98, 229.47 and 37.42

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Solution

The fourth proportional to 152.98, 229.47 and 37.42 is: 56.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.98 : 229.47 = 37.42 : x
  2. Step 2: Convert to fraction form
    152.98/229.47 = 37.42/x
  3. Step 3: Cross multiply
    152.98x = 229.47 × 37.42
  4. Step 4: Simplify right side
    152.98x = 8,586.58
  5. Step 5: Solve for x
    x = 8,586.58/152.98
  6. Step 6: Final answer
    x = 56.13

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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.