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Finding the Fourth Proportional to 155.61, 214.76 and 90.16

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Solution

The fourth proportional to 155.61, 214.76 and 90.16 is: 124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.61 : 214.76 = 90.16 : x
  2. Step 2: Convert to fraction form
    155.61/214.76 = 90.16/x
  3. Step 3: Cross multiply
    155.61x = 214.76 × 90.16
  4. Step 4: Simplify right side
    155.61x = 19,362.45
  5. Step 5: Solve for x
    x = 19,362.45/155.61
  6. Step 6: Final answer
    x = 124.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.