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Finding the Fourth Proportional to 152.61, 210.57 and 90.43

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Solution

The fourth proportional to 152.61, 210.57 and 90.43 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.61 : 210.57 = 90.43 : x
  2. Step 2: Convert to fraction form
    152.61/210.57 = 90.43/x
  3. Step 3: Cross multiply
    152.61x = 210.57 × 90.43
  4. Step 4: Simplify right side
    152.61x = 19,041.85
  5. Step 5: Solve for x
    x = 19,041.85/152.61
  6. Step 6: Final answer
    x = 124.77

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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.