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Finding the Fourth Proportional to 157.17, 235.82 and 84.95

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Solution

The fourth proportional to 157.17, 235.82 and 84.95 is: 127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 235.82 = 84.95 : x
  2. Step 2: Convert to fraction form
    157.17/235.82 = 84.95/x
  3. Step 3: Cross multiply
    157.17x = 235.82 × 84.95
  4. Step 4: Simplify right side
    157.17x = 20,031.94
  5. Step 5: Solve for x
    x = 20,031.94/157.17
  6. Step 6: Final answer
    x = 127.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.