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Finding the Fourth Proportional to 152.77, 229 and 61.42

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Solution

The fourth proportional to 152.77, 229 and 61.42 is: 92.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.77 : 229 = 61.42 : x
  2. Step 2: Convert to fraction form
    152.77/229 = 61.42/x
  3. Step 3: Cross multiply
    152.77x = 229 × 61.42
  4. Step 4: Simplify right side
    152.77x = 14,065.18
  5. Step 5: Solve for x
    x = 14,065.18/152.77
  6. Step 6: Final answer
    x = 92.07

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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.