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Finding the Fourth Proportional to 90.32, 135.43 and 46.98

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Solution

The fourth proportional to 90.32, 135.43 and 46.98 is: 70.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.32 : 135.43 = 46.98 : x
  2. Step 2: Convert to fraction form
    90.32/135.43 = 46.98/x
  3. Step 3: Cross multiply
    90.32x = 135.43 × 46.98
  4. Step 4: Simplify right side
    90.32x = 6,362.42
  5. Step 5: Solve for x
    x = 6,362.42/90.32
  6. Step 6: Final answer
    x = 70.45

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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.