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Finding the Fourth Proportional to 152.22, 228.50 and 60.98

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Solution

The fourth proportional to 152.22, 228.50 and 60.98 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 228.50 = 60.98 : x
  2. Step 2: Convert to fraction form
    152.22/228.50 = 60.98/x
  3. Step 3: Cross multiply
    152.22x = 228.50 × 60.98
  4. Step 4: Simplify right side
    152.22x = 13,934.17
  5. Step 5: Solve for x
    x = 13,934.17/152.22
  6. Step 6: Final answer
    x = 91.54

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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.